=3x^2-11x+6

Solution for =3x^2-11x+6 equation:

Simplifying
0 = 3x2 + -11x + 6

Reorder the terms:
0 = 6 + -11x + 3x2

Solving
0 = 6 + -11x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + -6 = -6
-6 + 11x + -3x2 = 6 + -11x + 3x2 + -6 + 11x + -3x2

Reorder the terms:
-6 + 11x + -3x2 = 6 + -6 + -11x + 11x + 3x2 + -3x2

Combine like terms: 6 + -6 = 0
-6 + 11x + -3x2 = 0 + -11x + 11x + 3x2 + -3x2
-6 + 11x + -3x2 = -11x + 11x + 3x2 + -3x2

Combine like terms: -11x + 11x = 0
-6 + 11x + -3x2 = 0 + 3x2 + -3x2
-6 + 11x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-6 + 11x + -3x2 = 0

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

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

Simplifying
-3 + x = 0

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

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

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

Simplifying
x = 3
Subproblem 2
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
Solution
x = {3, 0.6666666667}