6d^2+26d+24=0

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Solution for 6d^2+26d+24=0 equation:


Simplifying
6d2 + 26d + 24 = 0

Reorder the terms:
24 + 26d + 6d2 = 0

Solving
24 + 26d + 6d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + 13d + 3d2) = 0

Factor a trinomial.
2((3 + d)(4 + 3d)) = 0

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

Set the factor '(4 + 3d)' equal to zero and attempt to solve: Simplifying 4 + 3d = 0 Solving 4 + 3d = 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 + 3d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3d = 0 + -4 3d = 0 + -4 Combine like terms: 0 + -4 = -4 3d = -4 Divide each side by '3'. d = -1.333333333 Simplifying d = -1.333333333

Solution

d = {-3, -1.333333333}

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