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

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

Simplifying
-1(x2 + 40x + -14000) = 0

Reorder the terms:
-1(-14000 + 40x + x2) = 0
(-14000 * -1 + 40x * -1 + x2 * -1) = 0
(14000 + -40x + -1x2) = 0

Solving
14000 + -40x + -1x2 = 0

Solving for variable 'x'.

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

Subproblem 1
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
Subproblem 2
Set the factor '(140 + x)' equal to zero and attempt to solve:

Simplifying
140 + x = 0

Solving
140 + x = 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 + x = 0 + -140

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

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

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