x^2+10x+65=10040

Solution for x^2+10x+65=10040 equation:

Simplifying
x2 + 10x + 65 = 10040

Reorder the terms:
65 + 10x + x2 = 10040

Solving
65 + 10x + x2 = 10040

Solving for variable 'x'.

Reorder the terms:
65 + -10040 + 10x + x2 = 10040 + -10040

Combine like terms: 65 + -10040 = -9975
-9975 + 10x + x2 = 10040 + -10040

Combine like terms: 10040 + -10040 = 0
-9975 + 10x + x2 = 0

Factor a trinomial.
(-105 + -1x)(95 + -1x) = 0

Subproblem 1
Set the factor '(-105 + -1x)' equal to zero and attempt to solve:

Simplifying
-105 + -1x = 0

Solving
-105 + -1x = 0

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

Add '105' to each side of the equation.
-105 + 105 + -1x = 0 + 105

Combine like terms: -105 + 105 = 0
0 + -1x = 0 + 105
-1x = 0 + 105

Combine like terms: 0 + 105 = 105
-1x = 105

Divide each side by '-1'.
x = -105

Simplifying
x = -105
Subproblem 2
Set the factor '(95 + -1x)' equal to zero and attempt to solve:

Simplifying
95 + -1x = 0

Solving
95 + -1x = 0

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

Add '-95' to each side of the equation.
95 + -95 + -1x = 0 + -95

Combine like terms: 95 + -95 = 0
0 + -1x = 0 + -95
-1x = 0 + -95

Combine like terms: 0 + -95 = -95
-1x = -95

Divide each side by '-1'.
x = 95

Simplifying
x = 95
Solution
x = {-105, 95}