0=x^2+32x

Solution for 0=x^2+32x equation:

Simplifying
0 = x2 + 32x

Reorder the terms:
0 = 32x + x2

Solving
0 = 32x + x2

Solving for variable 'x'.
Remove the zero:
-32x + -1x2 = 32x + x2 + -32x + -1x2

Reorder the terms:
-32x + -1x2 = 32x + -32x + x2 + -1x2

Combine like terms: 32x + -32x = 0
-32x + -1x2 = 0 + x2 + -1x2
-32x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-32x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(32 + x) = 0

Ignore the factor -1.
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 '(32 + x)' equal to zero and attempt to solve:

Simplifying
32 + x = 0

Solving
32 + x = 0

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

Add '-32' to each side of the equation.
32 + -32 + x = 0 + -32

Combine like terms: 32 + -32 = 0
0 + x = 0 + -32
x = 0 + -32

Combine like terms: 0 + -32 = -32
x = -32

Simplifying
x = -32
Solution
x = {0, -32}