X^2+12X+36=4X^2

Solution for X^2+12X+36=4X^2 equation:

Simplifying
X2 + 12X + 36 = 4X2

Reorder the terms:
36 + 12X + X2 = 4X2

Solving
36 + 12X + X2 = 4X2

Solving for variable 'X'.

Combine like terms: X2 + -4X2 = -3X2
36 + 12X + -3X2 = 4X2 + -4X2

Combine like terms: 4X2 + -4X2 = 0
36 + 12X + -3X2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(12 + 4X + -1X2) = 0

Factor a trinomial.
3((6 + -1X)(2 + X)) = 0

Ignore the factor 3.
Subproblem 1
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
Subproblem 2
Set the factor '(2 + X)' equal to zero and attempt to solve:

Simplifying
2 + X = 0

Solving
2 + X = 0

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

Add '-2' to each side of the equation.
2 + -2 + X = 0 + -2

Combine like terms: 2 + -2 = 0
0 + X = 0 + -2
X = 0 + -2

Combine like terms: 0 + -2 = -2
X = -2

Simplifying
X = -2
Solution
X = {6, -2}