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

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


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

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

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

Multiply (1 + x2) * (-1 + 2x)
(1(-1 + 2x) + x2(-1 + 2x)) = 2x(2x + -1)
((-1 * 1 + 2x * 1) + x2(-1 + 2x)) = 2x(2x + -1)
((-1 + 2x) + x2(-1 + 2x)) = 2x(2x + -1)
(-1 + 2x + (-1 * x2 + 2x * x2)) = 2x(2x + -1)
(-1 + 2x + (-1x2 + 2x3)) = 2x(2x + -1)
(-1 + 2x + -1x2 + 2x3) = 2x(2x + -1)

Reorder the terms:
-1 + 2x + -1x2 + 2x3 = 2x(-1 + 2x)
-1 + 2x + -1x2 + 2x3 = (-1 * 2x + 2x * 2x)
-1 + 2x + -1x2 + 2x3 = (-2x + 4x2)

Solving
-1 + 2x + -1x2 + 2x3 = -2x + 4x2

Solving for variable 'x'.

Reorder the terms:
-1 + 2x + 2x + -1x2 + -4x2 + 2x3 = -2x + 4x2 + 2x + -4x2

Combine like terms: 2x + 2x = 4x
-1 + 4x + -1x2 + -4x2 + 2x3 = -2x + 4x2 + 2x + -4x2

Combine like terms: -1x2 + -4x2 = -5x2
-1 + 4x + -5x2 + 2x3 = -2x + 4x2 + 2x + -4x2

Reorder the terms:
-1 + 4x + -5x2 + 2x3 = -2x + 2x + 4x2 + -4x2

Combine like terms: -2x + 2x = 0
-1 + 4x + -5x2 + 2x3 = 0 + 4x2 + -4x2
-1 + 4x + -5x2 + 2x3 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-1 + 4x + -5x2 + 2x3 = 0

The solution to this equation could not be determined.

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