(14-2x)(13-2x)=132

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Solution for (14-2x)(13-2x)=132 equation: 


Simplifying
(14 + -2x)(13 + -2x) = 132

Multiply (14 + -2x) * (13 + -2x)
(14(13 + -2x) + -2x * (13 + -2x)) = 132
((13 * 14 + -2x * 14) + -2x * (13 + -2x)) = 132
((182 + -28x) + -2x * (13 + -2x)) = 132
(182 + -28x + (13 * -2x + -2x * -2x)) = 132
(182 + -28x + (-26x + 4x2)) = 132

Combine like terms: -28x + -26x = -54x
(182 + -54x + 4x2) = 132

Solving
182 + -54x + 4x2 = 132

Solving for variable 'x'.

Reorder the terms:
182 + -132 + -54x + 4x2 = 132 + -132

Combine like terms: 182 + -132 = 50
50 + -54x + 4x2 = 132 + -132

Combine like terms: 132 + -132 = 0
50 + -54x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(25 + -27x + 2x2) = 0

Factor a trinomial.
2((1 + -1x)(25 + -2x)) = 0

Ignore the factor 2.

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(25 + -2x)' equal to zero and attempt to solve:

Simplifying
25 + -2x = 0

Solving
25 + -2x = 0

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

Add '-25' to each side of the equation.
25 + -25 + -2x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -2x = 0 + -25
-2x = 0 + -25

Combine like terms: 0 + -25 = -25
-2x = -25

Divide each side by '-2'.
x = 12.5

Simplifying
x = 12.5
Solution
x = {1, 12.5}

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