4d^2-8d-88=8

Solution for 4d^2-8d-88=8 equation:

Simplifying
4d2 + -8d + -88 = 8

Reorder the terms:
-88 + -8d + 4d2 = 8

Solving
-88 + -8d + 4d2 = 8

Solving for variable 'd'.

Reorder the terms:
-88 + -8 + -8d + 4d2 = 8 + -8

Combine like terms: -88 + -8 = -96
-96 + -8d + 4d2 = 8 + -8

Combine like terms: 8 + -8 = 0
-96 + -8d + 4d2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-24 + -2d + d2) = 0

Factor a trinomial.
4((-4 + -1d)(6 + -1d)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-4 + -1d)' equal to zero and attempt to solve:

Simplifying
-4 + -1d = 0

Solving
-4 + -1d = 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 + -1d = 0 + 4

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

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

Divide each side by '-1'.
d = -4

Simplifying
d = -4
Subproblem 2
Set the factor '(6 + -1d)' equal to zero and attempt to solve:

Simplifying
6 + -1d = 0

Solving
6 + -1d = 0

Move all terms containing d to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -1d = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1d = 0 + -6
-1d = 0 + -6

Combine like terms: 0 + -6 = -6
-1d = -6

Divide each side by '-1'.
d = 6

Simplifying
d = 6
Solution
d = {-4, 6}