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

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


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

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

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

Multiply (8 + d) * (3 + 2d)
(8(3 + 2d) + d(3 + 2d)) = 0
((3 * 8 + 2d * 8) + d(3 + 2d)) = 0
((24 + 16d) + d(3 + 2d)) = 0
(24 + 16d + (3 * d + 2d * d)) = 0
(24 + 16d + (3d + 2d2)) = 0

Combine like terms: 16d + 3d = 19d
(24 + 19d + 2d2) = 0

Solving
24 + 19d + 2d2 = 0

Solving for variable 'd'.

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


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

Simplifying
8 + d = 0

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

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

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

Simplifying
d = -8

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

Simplifying
3 + 2d = 0

Solving
3 + 2d = 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 + 2d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2d = 0 + -3
2d = 0 + -3

Combine like terms: 0 + -3 = -3
2d = -3

Divide each side by '2'.
d = -1.5

Simplifying
d = -1.5
Solution
d = {-8, -1.5}

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