-13x^2+12x+1=0

Solution for -13x^2+12x+1=0 equation:

Simplifying
-13x2 + 12x + 1 = 0

Reorder the terms:
1 + 12x + -13x2 = 0

Solving
1 + 12x + -13x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -1x)(1 + 13x) = 0

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

Simplifying
1 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Subproblem 2
Set the factor '(1 + 13x)' equal to zero and attempt to solve:

Simplifying
1 + 13x = 0

Solving
1 + 13x = 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 + 13x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 13x = 0 + -1
13x = 0 + -1

Combine like terms: 0 + -1 = -1
13x = -1

Divide each side by '13'.
x = -0.07692307692

Simplifying
x = -0.07692307692
Solution
x = {1, -0.07692307692}