(x^2+40x-14000)=0

Solution for (x^2+40x-14000)=0 equation:

Simplifying
(x2 + 40x + -14000) = 0

Reorder the terms:
(-14000 + 40x + x2) = 0

Remove parenthesis around (-14000 + 40x + x2)
-14000 + 40x + x2 = 0

Solving
-14000 + 40x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-140 + -1x)(100 + -1x) = 0

Subproblem 1
Set the factor '(-140 + -1x)' equal to zero and attempt to solve:

Simplifying
-140 + -1x = 0

Solving
-140 + -1x = 0

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

Add '140' to each side of the equation.
-140 + 140 + -1x = 0 + 140

Combine like terms: -140 + 140 = 0
0 + -1x = 0 + 140
-1x = 0 + 140

Combine like terms: 0 + 140 = 140
-1x = 140

Divide each side by '-1'.
x = -140

Simplifying
x = -140
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 = {-140, 100}