x^2+61x-8000=0

Solution for x^2+61x-8000=0 equation:

Simplifying
x2 + 61x + -8000 = 0

Reorder the terms:
-8000 + 61x + x2 = 0

Solving
-8000 + 61x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-125 + -1x)(64 + -1x) = 0

Subproblem 1
Set the factor '(-125 + -1x)' equal to zero and attempt to solve:

Simplifying
-125 + -1x = 0

Solving
-125 + -1x = 0

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

Add '125' to each side of the equation.
-125 + 125 + -1x = 0 + 125

Combine like terms: -125 + 125 = 0
0 + -1x = 0 + 125
-1x = 0 + 125

Combine like terms: 0 + 125 = 125
-1x = 125

Divide each side by '-1'.
x = -125

Simplifying
x = -125
Subproblem 2
Set the factor '(64 + -1x)' equal to zero and attempt to solve:

Simplifying
64 + -1x = 0

Solving
64 + -1x = 0

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

Add '-64' to each side of the equation.
64 + -64 + -1x = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -1x = 0 + -64
-1x = 0 + -64

Combine like terms: 0 + -64 = -64
-1x = -64

Divide each side by '-1'.
x = 64

Simplifying
x = 64
Solution
x = {-125, 64}