(2d+8)(3d+12)=0

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Solution for (2d+8)(3d+12)=0 equation:


Simplifying
(2d + 8)(3d + 12) = 0

Reorder the terms:
(8 + 2d)(3d + 12) = 0

Reorder the terms:
(8 + 2d)(12 + 3d) = 0

Multiply (8 + 2d) * (12 + 3d)
(8(12 + 3d) + 2d * (12 + 3d)) = 0
((12 * 8 + 3d * 8) + 2d * (12 + 3d)) = 0
((96 + 24d) + 2d * (12 + 3d)) = 0
(96 + 24d + (12 * 2d + 3d * 2d)) = 0
(96 + 24d + (24d + 6d2)) = 0

Combine like terms: 24d + 24d = 48d
(96 + 48d + 6d2) = 0

Solving
96 + 48d + 6d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '6'.
6(16 + 8d + d2) = 0

Factor a trinomial.
6((4 + d)(4 + d)) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(4 + d)' equal to zero and attempt to solve: Simplifying 4 + d = 0 Solving 4 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + d = 0 + -4 d = 0 + -4 Combine like terms: 0 + -4 = -4 d = -4 Simplifying d = -4

Subproblem 2

Set the factor '(4 + d)' equal to zero and attempt to solve: Simplifying 4 + d = 0 Solving 4 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + d = 0 + -4 d = 0 + -4 Combine like terms: 0 + -4 = -4 d = -4 Simplifying d = -4

Solution

d = {-4, -4}

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