2x=x-2+10x^2

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

Simplifying
2x = x + -2 + 10x2

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

Solving
2x = -2 + x + 10x2

Solving for variable 'x'.

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

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

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

Combine like terms: -2 + 2 = 0
2 + 1x + -10x2 = 0 + x + -1x + 10x2 + -10x2
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.
(1 + -2x)(2 + 5x) = 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 + 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
Solution
x = {0.5, -0.4}