x(2x-1)=2x^2-x

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


Simplifying
x(2x + -1) = 2x2 + -1x

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

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

Add 'x' to each side of the equation.
-1x + x + 2x2 = -1x + x + 2x2

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

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

Add '-2x2' to each side of the equation.
2x2 + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
0 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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