x^2+60x=256

Solution for x^2+60x=256 equation:

Simplifying
x2 + 60x = 256

Reorder the terms:
60x + x2 = 256

Solving
60x + x2 = 256

Solving for variable 'x'.

Reorder the terms:
-256 + 60x + x2 = 256 + -256

Combine like terms: 256 + -256 = 0
-256 + 60x + x2 = 0

Factor a trinomial.
(-64 + -1x)(4 + -1x) = 0

Subproblem 1
Set the factor '(-64 + -1x)' equal to zero and attempt to solve:

Simplifying
-64 + -1x = 0

Solving
-64 + -1x = 0

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

Add '64' to each side of the equation.
-64 + 64 + -1x = 0 + 64

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

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

Divide each side by '-1'.
x = -64

Simplifying
x = -64
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-64, 4}