x^2+59x-186=0

Solution for x^2+59x-186=0 equation:

Simplifying
x2 + 59x + -186 = 0

Reorder the terms:
-186 + 59x + x2 = 0

Solving
-186 + 59x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-62 + -1x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-62 + -1x)' equal to zero and attempt to solve:

Simplifying
-62 + -1x = 0

Solving
-62 + -1x = 0

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

Add '62' to each side of the equation.
-62 + 62 + -1x = 0 + 62

Combine like terms: -62 + 62 = 0
0 + -1x = 0 + 62
-1x = 0 + 62

Combine like terms: 0 + 62 = 62
-1x = 62

Divide each side by '-1'.
x = -62

Simplifying
x = -62
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-62, 3}