x^2+17x-3120=0

Solution for x^2+17x-3120=0 equation:

Simplifying
x2 + 17x + -3120 = 0

Reorder the terms:
-3120 + 17x + x2 = 0

Solving
-3120 + 17x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-65 + -1x)(48 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(48 + -1x)' equal to zero and attempt to solve:

Simplifying
48 + -1x = 0

Solving
48 + -1x = 0

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

Add '-48' to each side of the equation.
48 + -48 + -1x = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -1x = 0 + -48
-1x = 0 + -48

Combine like terms: 0 + -48 = -48
-1x = -48

Divide each side by '-1'.
x = 48

Simplifying
x = 48
Solution
x = {-65, 48}