x^2+13x-5070=0

Solution for x^2+13x-5070=0 equation:

Simplifying
x2 + 13x + -5070 = 0

Reorder the terms:
-5070 + 13x + x2 = 0

Solving
-5070 + 13x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-78 + -1x)(65 + -1x) = 0

Subproblem 1
Set the factor '(-78 + -1x)' equal to zero and attempt to solve:

Simplifying
-78 + -1x = 0

Solving
-78 + -1x = 0

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

Add '78' to each side of the equation.
-78 + 78 + -1x = 0 + 78

Combine like terms: -78 + 78 = 0
0 + -1x = 0 + 78
-1x = 0 + 78

Combine like terms: 0 + 78 = 78
-1x = 78

Divide each side by '-1'.
x = -78

Simplifying
x = -78
Subproblem 2
Set the factor '(65 + -1x)' equal to zero and attempt to solve:

Simplifying
65 + -1x = 0

Solving
65 + -1x = 0

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

Add '-65' to each side of the equation.
65 + -65 + -1x = 0 + -65

Combine like terms: 65 + -65 = 0
0 + -1x = 0 + -65
-1x = 0 + -65

Combine like terms: 0 + -65 = -65
-1x = -65

Divide each side by '-1'.
x = 65

Simplifying
x = 65
Solution
x = {-78, 65}