88=(15-2x)(12-2x)

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Solution for 88=(15-2x)(12-2x) equation: 


Simplifying
88 = (15 + -2x)(12 + -2x)

Multiply (15 + -2x) * (12 + -2x)
88 = (15(12 + -2x) + -2x * (12 + -2x))
88 = ((12 * 15 + -2x * 15) + -2x * (12 + -2x))
88 = ((180 + -30x) + -2x * (12 + -2x))
88 = (180 + -30x + (12 * -2x + -2x * -2x))
88 = (180 + -30x + (-24x + 4x2))

Combine like terms: -30x + -24x = -54x
88 = (180 + -54x + 4x2)

Solving
88 = 180 + -54x + 4x2

Solving for variable 'x'.

Combine like terms: 88 + -180 = -92
-92 + 54x + -4x2 = 180 + -54x + 4x2 + -180 + 54x + -4x2

Reorder the terms:
-92 + 54x + -4x2 = 180 + -180 + -54x + 54x + 4x2 + -4x2

Combine like terms: 180 + -180 = 0
-92 + 54x + -4x2 = 0 + -54x + 54x + 4x2 + -4x2
-92 + 54x + -4x2 = -54x + 54x + 4x2 + -4x2

Combine like terms: -54x + 54x = 0
-92 + 54x + -4x2 = 0 + 4x2 + -4x2
-92 + 54x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-92 + 54x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-46 + 27x + -2x2) = 0

Factor a trinomial.
2((-23 + 2x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-23 + 2x)' equal to zero and attempt to solve:

Simplifying
-23 + 2x = 0

Solving
-23 + 2x = 0

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

Add '23' to each side of the equation.
-23 + 23 + 2x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 2x = 0 + 23
2x = 0 + 23

Combine like terms: 0 + 23 = 23
2x = 23

Divide each side by '2'.
x = 11.5

Simplifying
x = 11.5

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 = {11.5, 2}

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