8d^2-4d=60

Solution for 8d^2-4d=60 equation:

Simplifying
8d2 + -4d = 60

Reorder the terms:
-4d + 8d2 = 60

Solving
-4d + 8d2 = 60

Solving for variable 'd'.

Reorder the terms:
-60 + -4d + 8d2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + -4d + 8d2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-15 + -1d + 2d2) = 0

Factor a trinomial.
4((-5 + -2d)(3 + -1d)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-5 + -2d)' equal to zero and attempt to solve:

Simplifying
-5 + -2d = 0

Solving
-5 + -2d = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2d = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2d = 0 + 5
-2d = 0 + 5

Combine like terms: 0 + 5 = 5
-2d = 5

Divide each side by '-2'.
d = -2.5

Simplifying
d = -2.5
Subproblem 2
Set the factor '(3 + -1d)' equal to zero and attempt to solve:

Simplifying
3 + -1d = 0

Solving
3 + -1d = 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 + -1d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1d = 0 + -3
-1d = 0 + -3

Combine like terms: 0 + -3 = -3
-1d = -3

Divide each side by '-1'.
d = 3

Simplifying
d = 3
Solution
d = {-2.5, 3}