d^2-19d+88=0

Solution for d^2-19d+88=0 equation:

Simplifying
d2 + -19d + 88 = 0

Reorder the terms:
88 + -19d + d2 = 0

Solving
88 + -19d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(8 + -1d)(11 + -1d) = 0

Subproblem 1
Set the factor '(8 + -1d)' equal to zero and attempt to solve:

Simplifying
8 + -1d = 0

Solving
8 + -1d = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1d = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1d = 0 + -8
-1d = 0 + -8

Combine like terms: 0 + -8 = -8
-1d = -8

Divide each side by '-1'.
d = 8

Simplifying
d = 8
Subproblem 2
Set the factor '(11 + -1d)' equal to zero and attempt to solve:

Simplifying
11 + -1d = 0

Solving
11 + -1d = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1d = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1d = 0 + -11
-1d = 0 + -11

Combine like terms: 0 + -11 = -11
-1d = -11

Divide each side by '-1'.
d = 11

Simplifying
d = 11
Solution
d = {8, 11}