Question

solve and check

2x^2+3x=14

Answer 1

http://www.algebrahelp.com/calculators/equation/factoring/calc.do?equation=10x^2+-+9x+%2B+2+%3D+0

Is your friend XD



Simplifying
2x2 + 3x = 14

Reorder the terms:
3x + 2x2 = 14

Solving
3x + 2x2 = 14

Solving for variable 'x'.

Reorder the terms:
-14 + 3x + 2x2 = 14 + -14

Combine like terms: 14 + -14 = 0
-14 + 3x + 2x2 = 0

Factor a trinomial.
(-7 + -2x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve:

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 0 + 7
-2x = 0 + 7

Combine like terms: 0 + 7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-3.5, 2}

Answer 2

got it thanks @nathan917