Question

Solve each equation.

8x^2-24=3x^2-9

Answer 1

As well as
Solve each equation.

0.2x2 + 1.2 = 3.4

Answer 2

subtract 3x^2 from both sides
5x^2=15
--------
5

x^2=3
take the square root of both sides and round

Answer 3

Simplifying
8x^2 + -24 = 3x^2 + -9
Reorder the terms:
-24 + 8x^2 = 3x^2 + -9
Reorder the terms:
-24 + 8x^2 = -9 + 3x^2
Solving:
-24 + 8x^2 = -9 + 3x^2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x^2' to each side of the equation.
-24 + 8x^2 + -3x^2 = -9 + 3x^2 + -3x^2
Combine like terms: 8x^2 + -3x^2 = 5x^2
-24 + 5x^2 = -9 + 3x^2 + -3x^2
Combine like terms: 3x^2 + -3x^2 = 0
-24 + 5x^2 = -9 + 0
-24 + 5x^2 = -9
Add '24' to each side of the equation.
-24 + 24 + 5x2 = -9 + 24
Combine like terms: -24 + 24 = 0
0 + 5x^2 = -9 + 24
5x^2 = -9 + 24
Combine like terms: -9 + 24 = 15
5x^2 = 15
Divide each side by '5'.
x^2 = 3
Simplifying
x^2 = 3
Take the square root of each side:
x = {-1.732050808, 1.732050808}