2=10x^2+x

Solution for 2=10x^2+x equation:

Simplifying
2 = 10x2 + x

Reorder the terms:
2 = x + 10x2

Solving
2 = x + 10x2

Solving for variable 'x'.

Reorder the terms:
2 + -1x + -10x2 = x + -1x + 10x2 + -10x2

Combine like terms: x + -1x = 0
2 + -1x + -10x2 = 0 + 10x2 + -10x2
2 + -1x + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
2 + -1x + -10x2 = 0

Factor a trinomial.
(2 + -5x)(1 + 2x) = 0

Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve:

Simplifying
2 + -5x = 0

Solving
2 + -5x = 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 + -5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2

Combine like terms: 0 + -2 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4
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 = {0.4, -0.5}