2d^2+36d-38=0

Solution for 2d^2+36d-38=0 equation:

Simplifying
2d2 + 36d + -38 = 0

Reorder the terms:
-38 + 36d + 2d2 = 0

Solving
-38 + 36d + 2d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-19 + 18d + d2) = 0

Factor a trinomial.
2((-19 + -1d)(1 + -1d)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-19 + -1d)' equal to zero and attempt to solve:

Simplifying
-19 + -1d = 0

Solving
-19 + -1d = 0

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

Add '19' to each side of the equation.
-19 + 19 + -1d = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -1d = 0 + 19
-1d = 0 + 19

Combine like terms: 0 + 19 = 19
-1d = 19

Divide each side by '-1'.
d = -19

Simplifying
d = -19
Subproblem 2
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
Solution
d = {-19, 1}