-4d^2-28d+240=

Solution for -4d^2-28d+240= equation:

Simplifying
-4d2 + -28d + 240 = 0

Reorder the terms:
240 + -28d + -4d2 = 0

Solving
240 + -28d + -4d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '4'.
4(60 + -7d + -1d2) = 0

Factor a trinomial.
4((5 + -1d)(12 + d)) = 0

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

Simplifying
5 + -1d = 0

Solving
5 + -1d = 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 + -1d = 0 + -5

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

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

Divide each side by '-1'.
d = 5

Simplifying
d = 5
Subproblem 2
Set the factor '(12 + d)' equal to zero and attempt to solve:

Simplifying
12 + d = 0

Solving
12 + d = 0

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

Add '-12' to each side of the equation.
12 + -12 + d = 0 + -12

Combine like terms: 12 + -12 = 0
0 + d = 0 + -12
d = 0 + -12

Combine like terms: 0 + -12 = -12
d = -12

Simplifying
d = -12
Solution
d = {5, -12}