0=x^2+40x-9600

Solution for 0=x^2+40x-9600 equation:

Simplifying
0 = x2 + 40x + -9600

Reorder the terms:
0 = -9600 + 40x + x2

Solving
0 = -9600 + 40x + x2

Solving for variable 'x'.

Combine like terms: 0 + 9600 = 9600
9600 + -40x + -1x2 = -9600 + 40x + x2 + 9600 + -40x + -1x2

Reorder the terms:
9600 + -40x + -1x2 = -9600 + 9600 + 40x + -40x + x2 + -1x2

Combine like terms: -9600 + 9600 = 0
9600 + -40x + -1x2 = 0 + 40x + -40x + x2 + -1x2
9600 + -40x + -1x2 = 40x + -40x + x2 + -1x2

Combine like terms: 40x + -40x = 0
9600 + -40x + -1x2 = 0 + x2 + -1x2
9600 + -40x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9600 + -40x + -1x2 = 0

Factor a trinomial.
(80 + -1x)(120 + x) = 0

Subproblem 1
Set the factor '(80 + -1x)' equal to zero and attempt to solve:

Simplifying
80 + -1x = 0

Solving
80 + -1x = 0

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

Add '-80' to each side of the equation.
80 + -80 + -1x = 0 + -80

Combine like terms: 80 + -80 = 0
0 + -1x = 0 + -80
-1x = 0 + -80

Combine like terms: 0 + -80 = -80
-1x = -80

Divide each side by '-1'.
x = 80

Simplifying
x = 80
Subproblem 2
Set the factor '(120 + x)' equal to zero and attempt to solve:

Simplifying
120 + x = 0

Solving
120 + x = 0

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

Add '-120' to each side of the equation.
120 + -120 + x = 0 + -120

Combine like terms: 120 + -120 = 0
0 + x = 0 + -120
x = 0 + -120

Combine like terms: 0 + -120 = -120
x = -120

Simplifying
x = -120
Solution
x = {80, -120}