(11-2x)(14-2x)=88

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Solution for (11-2x)(14-2x)=88 equation: 


Simplifying
(11 + -2x)(14 + -2x) = 88

Multiply (11 + -2x) * (14 + -2x)
(11(14 + -2x) + -2x * (14 + -2x)) = 88
((14 * 11 + -2x * 11) + -2x * (14 + -2x)) = 88
((154 + -22x) + -2x * (14 + -2x)) = 88
(154 + -22x + (14 * -2x + -2x * -2x)) = 88
(154 + -22x + (-28x + 4x2)) = 88

Combine like terms: -22x + -28x = -50x
(154 + -50x + 4x2) = 88

Solving
154 + -50x + 4x2 = 88

Solving for variable 'x'.

Reorder the terms:
154 + -88 + -50x + 4x2 = 88 + -88

Combine like terms: 154 + -88 = 66
66 + -50x + 4x2 = 88 + -88

Combine like terms: 88 + -88 = 0
66 + -50x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(33 + -25x + 2x2) = 0

Factor a trinomial.
2((3 + -2x)(11 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {1.5, 11}

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