(2x+7)(2x+18)+-126=

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Solution for (2x+7)(2x+18)+-126= equation: 


Simplifying
(2x + 7)(2x + 18) + -126 = 0

Reorder the terms:
(7 + 2x)(2x + 18) + -126 = 0

Reorder the terms:
(7 + 2x)(18 + 2x) + -126 = 0

Multiply (7 + 2x) * (18 + 2x)
(7(18 + 2x) + 2x * (18 + 2x)) + -126 = 0
((18 * 7 + 2x * 7) + 2x * (18 + 2x)) + -126 = 0
((126 + 14x) + 2x * (18 + 2x)) + -126 = 0
(126 + 14x + (18 * 2x + 2x * 2x)) + -126 = 0
(126 + 14x + (36x + 4x2)) + -126 = 0

Combine like terms: 14x + 36x = 50x
(126 + 50x + 4x2) + -126 = 0

Reorder the terms:
126 + -126 + 50x + 4x2 = 0

Combine like terms: 126 + -126 = 0
0 + 50x + 4x2 = 0
50x + 4x2 = 0

Solving
50x + 4x2 = 0

Solving for variable 'x'.

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

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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 = {0, -12.5}

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