2=6x^2+x

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

Simplifying
2 = 6x2 + x

Reorder the terms:
2 = x + 6x2

Solving
2 = x + 6x2

Solving for variable 'x'.

Reorder the terms:
2 + -1x + -6x2 = x + -1x + 6x2 + -6x2

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

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

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