x^2+520x=5300

Solution for x^2+520x=5300 equation:

Simplifying
x2 + 520x = 5300

Reorder the terms:
520x + x2 = 5300

Solving
520x + x2 = 5300

Solving for variable 'x'.

Reorder the terms:
-5300 + 520x + x2 = 5300 + -5300

Combine like terms: 5300 + -5300 = 0
-5300 + 520x + x2 = 0

Factor a trinomial.
(-530 + -1x)(10 + -1x) = 0

Subproblem 1
Set the factor '(-530 + -1x)' equal to zero and attempt to solve:

Simplifying
-530 + -1x = 0

Solving
-530 + -1x = 0

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

Add '530' to each side of the equation.
-530 + 530 + -1x = 0 + 530

Combine like terms: -530 + 530 = 0
0 + -1x = 0 + 530
-1x = 0 + 530

Combine like terms: 0 + 530 = 530
-1x = 530

Divide each side by '-1'.
x = -530

Simplifying
x = -530
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-530, 10}