x^2+15x+70=10520

Solution for x^2+15x+70=10520 equation:

Simplifying
x2 + 15x + 70 = 10520

Reorder the terms:
70 + 15x + x2 = 10520

Solving
70 + 15x + x2 = 10520

Solving for variable 'x'.

Reorder the terms:
70 + -10520 + 15x + x2 = 10520 + -10520

Combine like terms: 70 + -10520 = -10450
-10450 + 15x + x2 = 10520 + -10520

Combine like terms: 10520 + -10520 = 0
-10450 + 15x + x2 = 0

Factor a trinomial.
(-110 + -1x)(95 + -1x) = 0

Subproblem 1
Set the factor '(-110 + -1x)' equal to zero and attempt to solve:

Simplifying
-110 + -1x = 0

Solving
-110 + -1x = 0

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

Add '110' to each side of the equation.
-110 + 110 + -1x = 0 + 110

Combine like terms: -110 + 110 = 0
0 + -1x = 0 + 110
-1x = 0 + 110

Combine like terms: 0 + 110 = 110
-1x = 110

Divide each side by '-1'.
x = -110

Simplifying
x = -110
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 = {-110, 95}