18x^2+107x-6=0

Solution for 18x^2+107x-6=0 equation:

Simplifying
18x2 + 107x + -6 = 0

Reorder the terms:
-6 + 107x + 18x2 = 0

Solving
-6 + 107x + 18x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-6 + -1x)(1 + -18x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(1 + -18x)' equal to zero and attempt to solve:

Simplifying
1 + -18x = 0

Solving
1 + -18x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -18x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -18x = 0 + -1
-18x = 0 + -1

Combine like terms: 0 + -1 = -1
-18x = -1

Divide each side by '-18'.
x = 0.05555555556

Simplifying
x = 0.05555555556
Solution
x = {-6, 0.05555555556}