6x^2+13x-294=0

Solution for 6x^2+13x-294=0 equation:

Simplifying
6x2 + 13x + -294 = 0

Reorder the terms:
-294 + 13x + 6x2 = 0

Solving
-294 + 13x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-49 + -6x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-49 + -6x)' equal to zero and attempt to solve:

Simplifying
-49 + -6x = 0

Solving
-49 + -6x = 0

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

Add '49' to each side of the equation.
-49 + 49 + -6x = 0 + 49

Combine like terms: -49 + 49 = 0
0 + -6x = 0 + 49
-6x = 0 + 49

Combine like terms: 0 + 49 = 49
-6x = 49

Divide each side by '-6'.
x = -8.166666667

Simplifying
x = -8.166666667
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-8.166666667, 6}