x^2+58x-1659=0

Solution for x^2+58x-1659=0 equation:

Simplifying
x2 + 58x + -1659 = 0

Reorder the terms:
-1659 + 58x + x2 = 0

Solving
-1659 + 58x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-79 + -1x)(21 + -1x) = 0

Subproblem 1
Set the factor '(-79 + -1x)' equal to zero and attempt to solve:

Simplifying
-79 + -1x = 0

Solving
-79 + -1x = 0

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

Add '79' to each side of the equation.
-79 + 79 + -1x = 0 + 79

Combine like terms: -79 + 79 = 0
0 + -1x = 0 + 79
-1x = 0 + 79

Combine like terms: 0 + 79 = 79
-1x = 79

Divide each side by '-1'.
x = -79

Simplifying
x = -79
Subproblem 2
Set the factor '(21 + -1x)' equal to zero and attempt to solve:

Simplifying
21 + -1x = 0

Solving
21 + -1x = 0

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

Add '-21' to each side of the equation.
21 + -21 + -1x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = 0 + -21
-1x = 0 + -21

Combine like terms: 0 + -21 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21
Solution
x = {-79, 21}