-9d-24=-3d(d+8)-6d

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Solution for -9d-24=-3d(d+8)-6d equation:


Simplifying
-9d + -24 = -3d(d + 8) + -6d

Reorder the terms:
-24 + -9d = -3d(d + 8) + -6d

Reorder the terms:
-24 + -9d = -3d(8 + d) + -6d
-24 + -9d = (8 * -3d + d * -3d) + -6d
-24 + -9d = (-24d + -3d2) + -6d

Reorder the terms:
-24 + -9d = -24d + -6d + -3d2

Combine like terms: -24d + -6d = -30d
-24 + -9d = -30d + -3d2

Solving
-24 + -9d = -30d + -3d2

Solving for variable 'd'.

Combine like terms: -9d + 30d = 21d
-24 + 21d + 3d2 = -30d + -3d2 + 30d + 3d2

Reorder the terms:
-24 + 21d + 3d2 = -30d + 30d + -3d2 + 3d2

Combine like terms: -30d + 30d = 0
-24 + 21d + 3d2 = 0 + -3d2 + 3d2
-24 + 21d + 3d2 = -3d2 + 3d2

Combine like terms: -3d2 + 3d2 = 0
-24 + 21d + 3d2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + 7d + d2) = 0

Factor a trinomial.
3((-8 + -1d)(1 + -1d)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-8 + -1d)' equal to zero and attempt to solve: Simplifying -8 + -1d = 0 Solving -8 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1d = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1d = 0 + 8 -1d = 0 + 8 Combine like terms: 0 + 8 = 8 -1d = 8 Divide each side by '-1'. d = -8 Simplifying d = -8

Subproblem 2

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

Solution

d = {-8, 1}

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