6x^2+x-1=1

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

Simplifying
6x2 + x + -1 = 1

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

Solving
-1 + x + 6x2 = 1

Solving for variable 'x'.

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

Combine like terms: -1 + -1 = -2
-2 + x + 6x2 = 1 + -1

Combine like terms: 1 + -1 = 0
-2 + x + 6x2 = 0

Factor a trinomial.
(-2 + -3x)(1 + -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 '(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
Solution
x = {-0.6666666667, 0.5}