18d^2-2d-20=0

Solution for 18d^2-2d-20=0 equation:

Simplifying
18d2 + -2d + -20 = 0

Reorder the terms:
-20 + -2d + 18d2 = 0

Solving
-20 + -2d + 18d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + -1d + 9d2) = 0

Factor a trinomial.
2((-1 + -1d)(10 + -9d)) = 0

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

Simplifying
-1 + -1d = 0

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

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

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

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

Simplifying
d = -1
Subproblem 2
Set the factor '(10 + -9d)' equal to zero and attempt to solve:

Simplifying
10 + -9d = 0

Solving
10 + -9d = 0

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

Add '-10' to each side of the equation.
10 + -10 + -9d = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -9d = 0 + -10
-9d = 0 + -10

Combine like terms: 0 + -10 = -10
-9d = -10

Divide each side by '-9'.
d = 1.111111111

Simplifying
d = 1.111111111
Solution
d = {-1, 1.111111111}