=6x^2+5x-6

Solution for =6x^2+5x-6 equation:

Simplifying
0 = 6x2 + 5x + -6

Reorder the terms:
0 = -6 + 5x + 6x2

Solving
0 = -6 + 5x + 6x2

Solving for variable 'x'.

Combine like terms: 0 + 6 = 6
6 + -5x + -6x2 = -6 + 5x + 6x2 + 6 + -5x + -6x2

Reorder the terms:
6 + -5x + -6x2 = -6 + 6 + 5x + -5x + 6x2 + -6x2

Combine like terms: -6 + 6 = 0
6 + -5x + -6x2 = 0 + 5x + -5x + 6x2 + -6x2
6 + -5x + -6x2 = 5x + -5x + 6x2 + -6x2

Combine like terms: 5x + -5x = 0
6 + -5x + -6x2 = 0 + 6x2 + -6x2
6 + -5x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
6 + -5x + -6x2 = 0

Factor a trinomial.
(2 + -3x)(3 + 2x) = 0

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

Simplifying
2 + -3x = 0

Solving
2 + -3x = 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 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {0.6666666667, -1.5}