x^2+40x+40=9640

Solution for x^2+40x+40=9640 equation:

Simplifying
x2 + 40x + 40 = 9640

Reorder the terms:
40 + 40x + x2 = 9640

Solving
40 + 40x + x2 = 9640

Solving for variable 'x'.

Reorder the terms:
40 + -9640 + 40x + x2 = 9640 + -9640

Combine like terms: 40 + -9640 = -9600
-9600 + 40x + x2 = 9640 + -9640

Combine like terms: 9640 + -9640 = 0
-9600 + 40x + x2 = 0

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

Subproblem 1
Set the factor '(-120 + -1x)' equal to zero and attempt to solve:

Simplifying
-120 + -1x = 0

Solving
-120 + -1x = 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 + -1x = 0 + 120

Combine like terms: -120 + 120 = 0
0 + -1x = 0 + 120
-1x = 0 + 120

Combine like terms: 0 + 120 = 120
-1x = 120

Divide each side by '-1'.
x = -120

Simplifying
x = -120
Subproblem 2
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
Solution
x = {-120, 80}