2d^2+3d-20=0

Solution for 2d^2+3d-20=0 equation:

Simplifying
2d2 + 3d + -20 = 0

Reorder the terms:
-20 + 3d + 2d2 = 0

Solving
-20 + 3d + 2d2 = 0

Solving for variable 'd'.

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

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 '(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
Solution
d = {-4, 2.5}