(22+2x)(14+2x)=660

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Solution for (22+2x)(14+2x)=660 equation: 


Simplifying
(22 + 2x)(14 + 2x) = 660

Multiply (22 + 2x) * (14 + 2x)
(22(14 + 2x) + 2x * (14 + 2x)) = 660
((14 * 22 + 2x * 22) + 2x * (14 + 2x)) = 660
((308 + 44x) + 2x * (14 + 2x)) = 660
(308 + 44x + (14 * 2x + 2x * 2x)) = 660
(308 + 44x + (28x + 4x2)) = 660

Combine like terms: 44x + 28x = 72x
(308 + 72x + 4x2) = 660

Solving
308 + 72x + 4x2 = 660

Solving for variable 'x'.

Reorder the terms:
308 + -660 + 72x + 4x2 = 660 + -660

Combine like terms: 308 + -660 = -352
-352 + 72x + 4x2 = 660 + -660

Combine like terms: 660 + -660 = 0
-352 + 72x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-88 + 18x + x2) = 0

Factor a trinomial.
4((-22 + -1x)(4 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-22 + -1x)' equal to zero and attempt to solve:

Simplifying
-22 + -1x = 0

Solving
-22 + -1x = 0

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

Add '22' to each side of the equation.
-22 + 22 + -1x = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -1x = 0 + 22
-1x = 0 + 22

Combine like terms: 0 + 22 = 22
-1x = 22

Divide each side by '-1'.
x = -22

Simplifying
x = -22

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-22, 4}

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