(14+2x)(22+2x)=0

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Solution for (14+2x)(22+2x)=0 equation: 


Simplifying
(14 + 2x)(22 + 2x) = 0

Multiply (14 + 2x) * (22 + 2x)
(14(22 + 2x) + 2x * (22 + 2x)) = 0
((22 * 14 + 2x * 14) + 2x * (22 + 2x)) = 0
((308 + 28x) + 2x * (22 + 2x)) = 0
(308 + 28x + (22 * 2x + 2x * 2x)) = 0
(308 + 28x + (44x + 4x2)) = 0

Combine like terms: 28x + 44x = 72x
(308 + 72x + 4x2) = 0

Solving
308 + 72x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(77 + 18x + x2) = 0

Factor a trinomial.
4((11 + x)(7 + x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 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 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11

Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {-11, -7}

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