4x^2=-8x

Solution for 4x^2=-8x equation:

Simplifying
4x2 = -8x

Solving
4x2 = -8x

Solving for variable 'x'.

Reorder the terms:
8x + 4x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
8x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(2 + x) = 0

Ignore the factor 4.
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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {0, -2}