x^2+170x-6000=0

Solution for x^2+170x-6000=0 equation:

Simplifying
x2 + 170x + -6000 = 0

Reorder the terms:
-6000 + 170x + x2 = 0

Solving
-6000 + 170x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-200 + -1x)(30 + -1x) = 0

Subproblem 1
Set the factor '(-200 + -1x)' equal to zero and attempt to solve:

Simplifying
-200 + -1x = 0

Solving
-200 + -1x = 0

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

Add '200' to each side of the equation.
-200 + 200 + -1x = 0 + 200

Combine like terms: -200 + 200 = 0
0 + -1x = 0 + 200
-1x = 0 + 200

Combine like terms: 0 + 200 = 200
-1x = 200

Divide each side by '-1'.
x = -200

Simplifying
x = -200
Subproblem 2
Set the factor '(30 + -1x)' equal to zero and attempt to solve:

Simplifying
30 + -1x = 0

Solving
30 + -1x = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 0 + -30
-1x = 0 + -30

Combine like terms: 0 + -30 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30
Solution
x = {-200, 30}