x(10x-1)=2

Solution for x(10x-1)=2 equation:

Simplifying
x(10x + -1) = 2

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

Solving
-1x + 10x2 = 2

Solving for variable 'x'.

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

Combine like terms: 2 + -2 = 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}