60d^2+50d-40=0

Solution for 60d^2+50d-40=0 equation:

Simplifying
60d2 + 50d + -40 = 0

Reorder the terms:
-40 + 50d + 60d2 = 0

Solving
-40 + 50d + 60d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '10'.
10(-4 + 5d + 6d2) = 0

Factor a trinomial.
10((-4 + -3d)(1 + -2d)) = 0

Ignore the factor 10.
Subproblem 1
Set the factor '(-4 + -3d)' equal to zero and attempt to solve:

Simplifying
-4 + -3d = 0

Solving
-4 + -3d = 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 + -3d = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3d = 0 + 4
-3d = 0 + 4

Combine like terms: 0 + 4 = 4
-3d = 4

Divide each side by '-3'.
d = -1.333333333

Simplifying
d = -1.333333333
Subproblem 2
Set the factor '(1 + -2d)' equal to zero and attempt to solve:

Simplifying
1 + -2d = 0

Solving
1 + -2d = 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 + -2d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2d = 0 + -1
-2d = 0 + -1

Combine like terms: 0 + -1 = -1
-2d = -1

Divide each side by '-2'.
d = 0.5

Simplifying
d = 0.5
Solution
d = {-1.333333333, 0.5}