8x^2=-24x

Solution for 8x^2=-24x equation:

Simplifying
8x2 = -24x

Solving
8x2 = -24x

Solving for variable 'x'.

Reorder the terms:
24x + 8x2 = -24x + 24x

Combine like terms: -24x + 24x = 0
24x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '8x'.
8x(3 + x) = 0

Ignore the factor 8.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

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

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

Simplifying
x = -3
Solution
x = {0, -3}