x^2+130x=5775

Solution for x^2+130x=5775 equation:

Simplifying
x2 + 130x = 5775

Reorder the terms:
130x + x2 = 5775

Solving
130x + x2 = 5775

Solving for variable 'x'.

Reorder the terms:
-5775 + 130x + x2 = 5775 + -5775

Combine like terms: 5775 + -5775 = 0
-5775 + 130x + x2 = 0

Factor a trinomial.
(-165 + -1x)(35 + -1x) = 0

Subproblem 1
Set the factor '(-165 + -1x)' equal to zero and attempt to solve:

Simplifying
-165 + -1x = 0

Solving
-165 + -1x = 0

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

Add '165' to each side of the equation.
-165 + 165 + -1x = 0 + 165

Combine like terms: -165 + 165 = 0
0 + -1x = 0 + 165
-1x = 0 + 165

Combine like terms: 0 + 165 = 165
-1x = 165

Divide each side by '-1'.
x = -165

Simplifying
x = -165
Subproblem 2
Set the factor '(35 + -1x)' equal to zero and attempt to solve:

Simplifying
35 + -1x = 0

Solving
35 + -1x = 0

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

Add '-35' to each side of the equation.
35 + -35 + -1x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -1x = 0 + -35
-1x = 0 + -35

Combine like terms: 0 + -35 = -35
-1x = -35

Divide each side by '-1'.
x = 35

Simplifying
x = 35
Solution
x = {-165, 35}