576=x^2+64x

Solution for 576=x^2+64x equation:

Simplifying
576 = x2 + 64x

Reorder the terms:
576 = 64x + x2

Solving
576 = 64x + x2

Solving for variable 'x'.

Reorder the terms:
576 + -64x + -1x2 = 64x + -64x + x2 + -1x2

Combine like terms: 64x + -64x = 0
576 + -64x + -1x2 = 0 + x2 + -1x2
576 + -64x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
576 + -64x + -1x2 = 0

Factor a trinomial.
(8 + -1x)(72 + x) = 0

Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Subproblem 2
Set the factor '(72 + x)' equal to zero and attempt to solve:

Simplifying
72 + x = 0

Solving
72 + x = 0

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

Add '-72' to each side of the equation.
72 + -72 + x = 0 + -72

Combine like terms: 72 + -72 = 0
0 + x = 0 + -72
x = 0 + -72

Combine like terms: 0 + -72 = -72
x = -72

Simplifying
x = -72
Solution
x = {8, -72}