(2x+2)(2x+12)=0

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Solution for (2x+2)(2x+12)=0 equation:


Simplifying
(2x + 2)(2x + 12) = 0

Reorder the terms:
(2 + 2x)(2x + 12) = 0

Reorder the terms:
(2 + 2x)(12 + 2x) = 0

Multiply (2 + 2x) * (12 + 2x)
(2(12 + 2x) + 2x * (12 + 2x)) = 0
((12 * 2 + 2x * 2) + 2x * (12 + 2x)) = 0
((24 + 4x) + 2x * (12 + 2x)) = 0
(24 + 4x + (12 * 2x + 2x * 2x)) = 0
(24 + 4x + (24x + 4x2)) = 0

Combine like terms: 4x + 24x = 28x
(24 + 28x + 4x2) = 0

Solving
24 + 28x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(6 + 7x + x2) = 0

Factor a trinomial.
4((6 + x)(1 + x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {-6, -1}

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