64x^2=-8x

Solution for 64x^2=-8x equation:

Simplifying
64x2 = -8x

Solving
64x2 = -8x

Solving for variable 'x'.

Reorder the terms:
8x + 64x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
8x + 64x2 = 0

Factor out the Greatest Common Factor (GCF), '8x'.
8x(1 + 8x) = 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 '(1 + 8x)' equal to zero and attempt to solve:

Simplifying
1 + 8x = 0

Solving
1 + 8x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 8x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 0 + -1
8x = 0 + -1

Combine like terms: 0 + -1 = -1
8x = -1

Divide each side by '8'.
x = -0.125

Simplifying
x = -0.125
Solution
x = {0, -0.125}