6x^2+13x-50=0

Solution for 6x^2+13x-50=0 equation:

Simplifying
6x2 + 13x + -50 = 0

Reorder the terms:
-50 + 13x + 6x2 = 0

Solving
-50 + 13x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-25 + -6x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-25 + -6x)' equal to zero and attempt to solve:

Simplifying
-25 + -6x = 0

Solving
-25 + -6x = 0

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

Add '25' to each side of the equation.
-25 + 25 + -6x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -6x = 0 + 25
-6x = 0 + 25

Combine like terms: 0 + 25 = 25
-6x = 25

Divide each side by '-6'.
x = -4.166666667

Simplifying
x = -4.166666667
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-4.166666667, 2}