(14-2x)(8-2x)=40

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Solution for (14-2x)(8-2x)=40 equation: 


Simplifying
(14 + -2x)(8 + -2x) = 40

Multiply (14 + -2x) * (8 + -2x)
(14(8 + -2x) + -2x * (8 + -2x)) = 40
((8 * 14 + -2x * 14) + -2x * (8 + -2x)) = 40
((112 + -28x) + -2x * (8 + -2x)) = 40
(112 + -28x + (8 * -2x + -2x * -2x)) = 40
(112 + -28x + (-16x + 4x2)) = 40

Combine like terms: -28x + -16x = -44x
(112 + -44x + 4x2) = 40

Solving
112 + -44x + 4x2 = 40

Solving for variable 'x'.

Reorder the terms:
112 + -40 + -44x + 4x2 = 40 + -40

Combine like terms: 112 + -40 = 72
72 + -44x + 4x2 = 40 + -40

Combine like terms: 40 + -40 = 0
72 + -44x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(18 + -11x + x2) = 0

Factor a trinomial.
4((2 + -1x)(9 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
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

Subproblem 2
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
Solution
x = {2, 9}

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