12x^2-20x+6=-1

Solution for 12x^2-20x+6=-1 equation:

Simplifying
12x2 + -20x + 6 = -1

Reorder the terms:
6 + -20x + 12x2 = -1

Solving
6 + -20x + 12x2 = -1

Solving for variable 'x'.

Reorder the terms:
6 + 1 + -20x + 12x2 = -1 + 1

Combine like terms: 6 + 1 = 7
7 + -20x + 12x2 = -1 + 1

Combine like terms: -1 + 1 = 0
7 + -20x + 12x2 = 0

Factor a trinomial.
(1 + -2x)(7 + -6x) = 0

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Subproblem 2
Set the factor '(7 + -6x)' equal to zero and attempt to solve:

Simplifying
7 + -6x = 0

Solving
7 + -6x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = 0 + -7
-6x = 0 + -7

Combine like terms: 0 + -7 = -7
-6x = -7

Divide each side by '-6'.
x = 1.166666667

Simplifying
x = 1.166666667
Solution
x = {0.5, 1.166666667}