2(6x+2x)=2(x*x+12)

Solution for 2(6x+2x)=2(x*x+12) equation:

Simplifying
2(6x + 2x) = 2(x * x + 12)

Combine like terms: 6x + 2x = 8x
2(8x) = 2(x * x + 12)

Remove parenthesis around (8x)
2 * 8x = 2(x * x + 12)

Multiply 2 * 8
16x = 2(x * x + 12)

Multiply x * x
16x = 2(x2 + 12)

Reorder the terms:
16x = 2(12 + x2)
16x = (12 * 2 + x2 * 2)
16x = (24 + 2x2)

Solving
16x = 24 + 2x2

Solving for variable 'x'.

Reorder the terms:
-24 + 16x + -2x2 = 24 + 2x2 + -24 + -2x2

Reorder the terms:
-24 + 16x + -2x2 = 24 + -24 + 2x2 + -2x2

Combine like terms: 24 + -24 = 0
-24 + 16x + -2x2 = 0 + 2x2 + -2x2
-24 + 16x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-24 + 16x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + 8x + -1x2) = 0

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

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

Simplifying
-6 + x = 0

Solving
-6 + x = 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 + x = 0 + 6

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

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

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {6, 2}