x^2+140x-24000=0

Solution for x^2+140x-24000=0 equation:

Simplifying
x2 + 140x + -24000 = 0

Reorder the terms:
-24000 + 140x + x2 = 0

Solving
-24000 + 140x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-240 + -1x)(100 + -1x) = 0

Subproblem 1
Set the factor '(-240 + -1x)' equal to zero and attempt to solve:

Simplifying
-240 + -1x = 0

Solving
-240 + -1x = 0

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

Add '240' to each side of the equation.
-240 + 240 + -1x = 0 + 240

Combine like terms: -240 + 240 = 0
0 + -1x = 0 + 240
-1x = 0 + 240

Combine like terms: 0 + 240 = 240
-1x = 240

Divide each side by '-1'.
x = -240

Simplifying
x = -240
Subproblem 2
Set the factor '(100 + -1x)' equal to zero and attempt to solve:

Simplifying
100 + -1x = 0

Solving
100 + -1x = 0

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

Add '-100' to each side of the equation.
100 + -100 + -1x = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -1x = 0 + -100
-1x = 0 + -100

Combine like terms: 0 + -100 = -100
-1x = -100

Divide each side by '-1'.
x = 100

Simplifying
x = 100
Solution
x = {-240, 100}