=(3d+8)(8+3d)

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Solution for =(3d+8)(8+3d) equation: 


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

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

Multiply (8 + 3d) * (8 + 3d)
0 = (8(8 + 3d) + 3d * (8 + 3d))
0 = ((8 * 8 + 3d * 8) + 3d * (8 + 3d))
0 = ((64 + 24d) + 3d * (8 + 3d))
0 = (64 + 24d + (8 * 3d + 3d * 3d))
0 = (64 + 24d + (24d + 9d2))

Combine like terms: 24d + 24d = 48d
0 = (64 + 48d + 9d2)

Solving
0 = 64 + 48d + 9d2

Solving for variable 'd'.

Combine like terms: 0 + -64 = -64
-64 + -48d + -9d2 = 64 + 48d + 9d2 + -64 + -48d + -9d2

Reorder the terms:
-64 + -48d + -9d2 = 64 + -64 + 48d + -48d + 9d2 + -9d2

Combine like terms: 64 + -64 = 0
-64 + -48d + -9d2 = 0 + 48d + -48d + 9d2 + -9d2
-64 + -48d + -9d2 = 48d + -48d + 9d2 + -9d2

Combine like terms: 48d + -48d = 0
-64 + -48d + -9d2 = 0 + 9d2 + -9d2
-64 + -48d + -9d2 = 9d2 + -9d2

Combine like terms: 9d2 + -9d2 = 0
-64 + -48d + -9d2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(64 + 48d + 9d2) = 0

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

Ignore the factor -1.

Subproblem 1
Set the factor '(8 + 3d)' equal to zero and attempt to solve:

Simplifying
8 + 3d = 0

Solving
8 + 3d = 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 + 3d = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3d = 0 + -8
3d = 0 + -8

Combine like terms: 0 + -8 = -8
3d = -8

Divide each side by '3'.
d = -2.666666667

Simplifying
d = -2.666666667

Subproblem 2
Set the factor '(8 + 3d)' equal to zero and attempt to solve:

Simplifying
8 + 3d = 0

Solving
8 + 3d = 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 + 3d = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3d = 0 + -8
3d = 0 + -8

Combine like terms: 0 + -8 = -8
3d = -8

Divide each side by '3'.
d = -2.666666667

Simplifying
d = -2.666666667
Solution
d = {-2.666666667, -2.666666667}

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