(2x+8)(2x+10)=168

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Solution for (2x+8)(2x+10)=168 equation: 


Simplifying
(2x + 8)(2x + 10) = 168

Reorder the terms:
(8 + 2x)(2x + 10) = 168

Reorder the terms:
(8 + 2x)(10 + 2x) = 168

Multiply (8 + 2x) * (10 + 2x)
(8(10 + 2x) + 2x * (10 + 2x)) = 168
((10 * 8 + 2x * 8) + 2x * (10 + 2x)) = 168
((80 + 16x) + 2x * (10 + 2x)) = 168
(80 + 16x + (10 * 2x + 2x * 2x)) = 168
(80 + 16x + (20x + 4x2)) = 168

Combine like terms: 16x + 20x = 36x
(80 + 36x + 4x2) = 168

Solving
80 + 36x + 4x2 = 168

Solving for variable 'x'.

Reorder the terms:
80 + -168 + 36x + 4x2 = 168 + -168

Combine like terms: 80 + -168 = -88
-88 + 36x + 4x2 = 168 + -168

Combine like terms: 168 + -168 = 0
-88 + 36x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-22 + 9x + x2) = 0

Factor a trinomial.
4((-11 + -1x)(2 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
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

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, 2}

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