(18)(12)=(18-2x)(12-2x)

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Solution for (18)(12)=(18-2x)(12-2x) equation: 


Simplifying
(18)(12) = (18 + -2x)(12 + -2x)

Multiply 18 * 12
216 = (18 + -2x)(12 + -2x)

Multiply (18 + -2x) * (12 + -2x)
216 = (18(12 + -2x) + -2x * (12 + -2x))
216 = ((12 * 18 + -2x * 18) + -2x * (12 + -2x))
216 = ((216 + -36x) + -2x * (12 + -2x))
216 = (216 + -36x + (12 * -2x + -2x * -2x))
216 = (216 + -36x + (-24x + 4x2))

Combine like terms: -36x + -24x = -60x
216 = (216 + -60x + 4x2)

Add '-216' to each side of the equation.
216 + -216 = 216 + -60x + -216 + 4x2

Combine like terms: 216 + -216 = 0
0 = 216 + -60x + -216 + 4x2

Reorder the terms:
0 = 216 + -216 + -60x + 4x2

Combine like terms: 216 + -216 = 0
0 = 0 + -60x + 4x2
0 = -60x + 4x2

Solving
0 = -60x + 4x2

Solving for variable 'x'.
Remove the zero:
60x + -4x2 = -60x + 4x2 + 60x + -4x2

Reorder the terms:
60x + -4x2 = -60x + 60x + 4x2 + -4x2

Combine like terms: -60x + 60x = 0
60x + -4x2 = 0 + 4x2 + -4x2
60x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
60x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(15 + -1x) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
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
Solution
x = {0, 15}

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