x^2=3(x+6)

Solution for x^2=3(x+6) equation:

Simplifying
x2 = 3(x + 6)

Reorder the terms:
x2 = 3(6 + x)
x2 = (6 * 3 + x * 3)
x2 = (18 + 3x)

Solving
x2 = 18 + 3x

Solving for variable 'x'.

Reorder the terms:
-18 + -3x + x2 = 18 + 3x + -18 + -3x

Reorder the terms:
-18 + -3x + x2 = 18 + -18 + 3x + -3x

Combine like terms: 18 + -18 = 0
-18 + -3x + x2 = 0 + 3x + -3x
-18 + -3x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-18 + -3x + x2 = 0

Factor a trinomial.
(-3 + -1x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-3, 6}