x^2=5(x+60)

Solution for x^2=5(x+60) equation:

Simplifying
x2 = 5(x + 60)

Reorder the terms:
x2 = 5(60 + x)
x2 = (60 * 5 + x * 5)
x2 = (300 + 5x)

Solving
x2 = 300 + 5x

Solving for variable 'x'.

Reorder the terms:
-300 + -5x + x2 = 300 + 5x + -300 + -5x

Reorder the terms:
-300 + -5x + x2 = 300 + -300 + 5x + -5x

Combine like terms: 300 + -300 = 0
-300 + -5x + x2 = 0 + 5x + -5x
-300 + -5x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-300 + -5x + x2 = 0

Factor a trinomial.
(-15 + -1x)(20 + -1x) = 0

Subproblem 1
Set the factor '(-15 + -1x)' equal to zero and attempt to solve:

Simplifying
-15 + -1x = 0

Solving
-15 + -1x = 0

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

Add '15' to each side of the equation.
-15 + 15 + -1x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = 0 + 15
-1x = 0 + 15

Combine like terms: 0 + 15 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15
Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {-15, 20}