x^2+170x-7000=13000

Solution for x^2+170x-7000=13000 equation:

Simplifying
x2 + 170x + -7000 = 13000

Reorder the terms:
-7000 + 170x + x2 = 13000

Solving
-7000 + 170x + x2 = 13000

Solving for variable 'x'.

Reorder the terms:
-7000 + -13000 + 170x + x2 = 13000 + -13000

Combine like terms: -7000 + -13000 = -20000
-20000 + 170x + x2 = 13000 + -13000

Combine like terms: 13000 + -13000 = 0
-20000 + 170x + x2 = 0

Factor a trinomial.
(-250 + -1x)(80 + -1x) = 0

Subproblem 1
Set the factor '(-250 + -1x)' equal to zero and attempt to solve:

Simplifying
-250 + -1x = 0

Solving
-250 + -1x = 0

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

Add '250' to each side of the equation.
-250 + 250 + -1x = 0 + 250

Combine like terms: -250 + 250 = 0
0 + -1x = 0 + 250
-1x = 0 + 250

Combine like terms: 0 + 250 = 250
-1x = 250

Divide each side by '-1'.
x = -250

Simplifying
x = -250
Subproblem 2
Set the factor '(80 + -1x)' equal to zero and attempt to solve:

Simplifying
80 + -1x = 0

Solving
80 + -1x = 0

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

Add '-80' to each side of the equation.
80 + -80 + -1x = 0 + -80

Combine like terms: 80 + -80 = 0
0 + -1x = 0 + -80
-1x = 0 + -80

Combine like terms: 0 + -80 = -80
-1x = -80

Divide each side by '-1'.
x = 80

Simplifying
x = 80
Solution
x = {-250, 80}