(4x+12)(3x+12)=0

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Solution for (4x+12)(3x+12)=0 equation:


Simplifying
(4x + 12)(3x + 12) = 0

Reorder the terms:
(12 + 4x)(3x + 12) = 0

Reorder the terms:
(12 + 4x)(12 + 3x) = 0

Multiply (12 + 4x) * (12 + 3x)
(12(12 + 3x) + 4x * (12 + 3x)) = 0
((12 * 12 + 3x * 12) + 4x * (12 + 3x)) = 0
((144 + 36x) + 4x * (12 + 3x)) = 0
(144 + 36x + (12 * 4x + 3x * 4x)) = 0
(144 + 36x + (48x + 12x2)) = 0

Combine like terms: 36x + 48x = 84x
(144 + 84x + 12x2) = 0

Solving
144 + 84x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(12 + 7x + x2) = 0

Factor a trinomial.
12((4 + x)(3 + x)) = 0

Ignore the factor 12.

Subproblem 1

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Subproblem 2

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Solution

x = {-4, -3}

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