2d^2-11d-90=0

Solution for 2d^2-11d-90=0 equation:

Simplifying
2d2 + -11d + -90 = 0

Reorder the terms:
-90 + -11d + 2d2 = 0

Solving
-90 + -11d + 2d2 = 0

Solving for variable 'd'.

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

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

Simplifying
-9 + -2d = 0

Solving
-9 + -2d = 0

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

Add '9' to each side of the equation.
-9 + 9 + -2d = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2d = 0 + 9
-2d = 0 + 9

Combine like terms: 0 + 9 = 9
-2d = 9

Divide each side by '-2'.
d = -4.5

Simplifying
d = -4.5
Subproblem 2
Set the factor '(10 + -1d)' equal to zero and attempt to solve:

Simplifying
10 + -1d = 0

Solving
10 + -1d = 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 + -1d = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1d = 0 + -10
-1d = 0 + -10

Combine like terms: 0 + -10 = -10
-1d = -10

Divide each side by '-1'.
d = 10

Simplifying
d = 10
Solution
d = {-4.5, 10}