216=2x(2x-6)

Solution for 216=2x(2x-6) equation:

Simplifying
216 = 2x(2x + -6)

Reorder the terms:
216 = 2x(-6 + 2x)
216 = (-6 * 2x + 2x * 2x)
216 = (-12x + 4x2)

Solving
216 = -12x + 4x2

Solving for variable 'x'.

Reorder the terms:
216 + 12x + -4x2 = -12x + 12x + 4x2 + -4x2

Combine like terms: -12x + 12x = 0
216 + 12x + -4x2 = 0 + 4x2 + -4x2
216 + 12x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
216 + 12x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(54 + 3x + -1x2) = 0

Factor a trinomial.
4((9 + -1x)(6 + x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Subproblem 2
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
Solution
x = {9, -6}