8x^2+57x=0

Solution for 8x^2+57x=0 equation:

Simplifying
8x2 + 57x = 0

Reorder the terms:
57x + 8x2 = 0

Solving
57x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(57 + 8x) = 0

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 '(57 + 8x)' equal to zero and attempt to solve:

Simplifying
57 + 8x = 0

Solving
57 + 8x = 0

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

Add '-57' to each side of the equation.
57 + -57 + 8x = 0 + -57

Combine like terms: 57 + -57 = 0
0 + 8x = 0 + -57
8x = 0 + -57

Combine like terms: 0 + -57 = -57
8x = -57

Divide each side by '8'.
x = -7.125

Simplifying
x = -7.125
Solution
x = {0, -7.125}