x=6x^2+x-1

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

Simplifying
x = 6x2 + x + -1

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

Add '-1x' to each side of the equation.
x + -1x = -1 + x + -1x + 6x2

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

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

Solving
0 = -1 + 6x2

Solving for variable 'x'.

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

Add '-6x2' to each side of the equation.
0 + -6x2 = -1 + 6x2 + -6x2
Remove the zero:
-6x2 = -1 + 6x2 + -6x2

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

Divide each side by '-6'.
x2 = 0.1666666667

Simplifying
x2 = 0.1666666667

Take the square root of each side:
x = {-0.408248291, 0.408248291}