12x^2-26x+10=6

Solution for 12x^2-26x+10=6 equation:

Simplifying
12x2 + -26x + 10 = 6

Reorder the terms:
10 + -26x + 12x2 = 6

Solving
10 + -26x + 12x2 = 6

Solving for variable 'x'.

Reorder the terms:
10 + -6 + -26x + 12x2 = 6 + -6

Combine like terms: 10 + -6 = 4
4 + -26x + 12x2 = 6 + -6

Combine like terms: 6 + -6 = 0
4 + -26x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -13x + 6x2) = 0

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

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

Simplifying
1 + -6x = 0

Solving
1 + -6x = 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 + -6x = 0 + -1

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

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

Divide each side by '-6'.
x = 0.1666666667

Simplifying
x = 0.1666666667
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 = {0.1666666667, 2}