Question

How do I solve this with quadratic formula 2x(x-1)=3

Answer 1

@bellablain

Answer 2

I assume you want to solve for x
2(x-1) + 3 = x - 3(x+1)
multiply the 2 and -3 into the (x - 1) and (x + 3)
2x -2 + 3 = x - 3x - 3
combine like terms
2x + 1 = -2x - 3
add 2x to both side, subtract 1 from both sides
4x = -4
divide both sides by 4
x = -1

verify by putting -1 in for x in the orig equation
2(x-1) + 3 = x - 3(x+1)
2(-1 - 1) + 3 = -1 - 3(-1 + 1)
2(-2) + 3 = -1 - 3(0)
-4 + 3 = -1
-1 = -1

Answer 3

I have to make them equal to 0

Answer 4

um i hope this helps i dont know what you need. Simplifying
2x(x + -1) = 3

Reorder the terms:
2x(-1 + x) = 3
(-1 * 2x + x * 2x) = 3
(-2x + 2x2) = 3

Solving
-2x + 2x2 = 3

Solving for variable 'x'.

Reorder the terms:
-3 + -2x + 2x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -2x + 2x2 = 0

Begin completing the square. Divide all terms by
2 the coefficient of the squared term:

Divide each side by '2'.
-1.5 + -1x + x2 = 0

Move the constant term to the right:

Add '1.5' to each side of the equation.
-1.5 + -1x + 1.5 + x2 = 0 + 1.5

Reorder the terms:
-1.5 + 1.5 + -1x + x2 = 0 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + -1x + x2 = 0 + 1.5
-1x + x2 = 0 + 1.5

Combine like terms: 0 + 1.5 = 1.5
-1x + x2 = 1.5

The x term is -1x. Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = 1.5 + 0.25

Reorder the terms:
0.25 + -1x + x2 = 1.5 + 0.25

Combine like terms: 1.5 + 0.25 = 1.75
0.25 + -1x + x2 = 1.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = 1.75

Calculate the square root of the right side: 1.322875656

Break this problem into two subproblems by setting
(x + -0.5) equal to 1.322875656 and -1.322875656.

Subproblem 1
x + -0.5 = 1.322875656

Simplifying
x + -0.5 = 1.322875656

Reorder the terms:
-0.5 + x = 1.322875656

Solving
-0.5 + x = 1.322875656

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x = 1.322875656 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = 1.322875656 + 0.5
x = 1.322875656 + 0.5

Combine like terms: 1.322875656 + 0.5 = 1.822875656
x = 1.822875656

Simplifying
x = 1.822875656

Subproblem 2
x + -0.5 = -1.322875656

Simplifying
x + -0.5 = -1.322875656

Reorder the terms:
-0.5 + x = -1.322875656

Solving
-0.5 + x = -1.322875656

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x = -1.322875656 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = -1.322875656 + 0.5
x = -1.322875656 + 0.5

Combine like terms: -1.322875656 + 0.5 = -0.822875656
x = -0.822875656

Simplifying
x = -0.822875656

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.822875656, -0.822875656}

Answer 5

Thanks but I'm looking for the quadratic formula