3d-4=d(d+8)

Solution for 3d-4=d(d+8) equation:

Simplifying
3d + -4 = d(d + 8)

Reorder the terms:
-4 + 3d = d(d + 8)

Reorder the terms:
-4 + 3d = d(8 + d)
-4 + 3d = (8 * d + d * d)
-4 + 3d = (8d + d2)

Solving
-4 + 3d = 8d + d2

Solving for variable 'd'.

Combine like terms: 3d + -8d = -5d
-4 + -5d + -1d2 = 8d + d2 + -8d + -1d2

Reorder the terms:
-4 + -5d + -1d2 = 8d + -8d + d2 + -1d2

Combine like terms: 8d + -8d = 0
-4 + -5d + -1d2 = 0 + d2 + -1d2
-4 + -5d + -1d2 = d2 + -1d2

Combine like terms: d2 + -1d2 = 0
-4 + -5d + -1d2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + 5d + d2) = 0

Factor a trinomial.
-1((4 + d)(1 + d)) = 0

Ignore the factor -1.
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 '(1 + d)' equal to zero and attempt to solve:

Simplifying
1 + d = 0

Solving
1 + d = 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 + d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + d = 0 + -1
d = 0 + -1

Combine like terms: 0 + -1 = -1
d = -1

Simplifying
d = -1
Solution
d = {-4, -1}