2x^2+87x-16632=0

Solution for 2x^2+87x-16632=0 equation:

Simplifying
2x2 + 87x + -16632 = 0

Reorder the terms:
-16632 + 87x + 2x2 = 0

Solving
-16632 + 87x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-231 + -2x)(72 + -1x) = 0

Subproblem 1
Set the factor '(-231 + -2x)' equal to zero and attempt to solve:

Simplifying
-231 + -2x = 0

Solving
-231 + -2x = 0

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

Add '231' to each side of the equation.
-231 + 231 + -2x = 0 + 231

Combine like terms: -231 + 231 = 0
0 + -2x = 0 + 231
-2x = 0 + 231

Combine like terms: 0 + 231 = 231
-2x = 231

Divide each side by '-2'.
x = -115.5

Simplifying
x = -115.5
Subproblem 2
Set the factor '(72 + -1x)' equal to zero and attempt to solve:

Simplifying
72 + -1x = 0

Solving
72 + -1x = 0

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

Add '-72' to each side of the equation.
72 + -72 + -1x = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -1x = 0 + -72
-1x = 0 + -72

Combine like terms: 0 + -72 = -72
-1x = -72

Divide each side by '-1'.
x = 72

Simplifying
x = 72
Solution
x = {-115.5, 72}