(4x-1)(4x^2-2x)=(4x-1)(4x^2-2x)

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Solution for (4x-1)(4x^2-2x)=(4x-1)(4x^2-2x) equation: 


Simplifying
(4x + -1)(4x2 + -2x) = (4x + -1)(4x2 + -2x)

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

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

Multiply (-1 + 4x) * (-2x + 4x2)
(-1(-2x + 4x2) + 4x * (-2x + 4x2)) = (4x + -1)(4x2 + -2x)
((-2x * -1 + 4x2 * -1) + 4x * (-2x + 4x2)) = (4x + -1)(4x2 + -2x)
((2x + -4x2) + 4x * (-2x + 4x2)) = (4x + -1)(4x2 + -2x)
(2x + -4x2 + (-2x * 4x + 4x2 * 4x)) = (4x + -1)(4x2 + -2x)
(2x + -4x2 + (-8x2 + 16x3)) = (4x + -1)(4x2 + -2x)

Combine like terms: -4x2 + -8x2 = -12x2
(2x + -12x2 + 16x3) = (4x + -1)(4x2 + -2x)

Reorder the terms:
2x + -12x2 + 16x3 = (-1 + 4x)(4x2 + -2x)

Reorder the terms:
2x + -12x2 + 16x3 = (-1 + 4x)(-2x + 4x2)

Multiply (-1 + 4x) * (-2x + 4x2)
2x + -12x2 + 16x3 = (-1(-2x + 4x2) + 4x * (-2x + 4x2))
2x + -12x2 + 16x3 = ((-2x * -1 + 4x2 * -1) + 4x * (-2x + 4x2))
2x + -12x2 + 16x3 = ((2x + -4x2) + 4x * (-2x + 4x2))
2x + -12x2 + 16x3 = (2x + -4x2 + (-2x * 4x + 4x2 * 4x))
2x + -12x2 + 16x3 = (2x + -4x2 + (-8x2 + 16x3))

Combine like terms: -4x2 + -8x2 = -12x2
2x + -12x2 + 16x3 = (2x + -12x2 + 16x3)

Add '-2x' to each side of the equation.
2x + -12x2 + -2x + 16x3 = 2x + -12x2 + -2x + 16x3

Reorder the terms:
2x + -2x + -12x2 + 16x3 = 2x + -12x2 + -2x + 16x3

Combine like terms: 2x + -2x = 0
0 + -12x2 + 16x3 = 2x + -12x2 + -2x + 16x3
-12x2 + 16x3 = 2x + -12x2 + -2x + 16x3

Reorder the terms:
-12x2 + 16x3 = 2x + -2x + -12x2 + 16x3

Combine like terms: 2x + -2x = 0
-12x2 + 16x3 = 0 + -12x2 + 16x3
-12x2 + 16x3 = -12x2 + 16x3

Add '12x2' to each side of the equation.
-12x2 + 12x2 + 16x3 = -12x2 + 12x2 + 16x3

Combine like terms: -12x2 + 12x2 = 0
0 + 16x3 = -12x2 + 12x2 + 16x3
16x3 = -12x2 + 12x2 + 16x3

Combine like terms: -12x2 + 12x2 = 0
16x3 = 0 + 16x3
16x3 = 16x3

Add '-16x3' to each side of the equation.
16x3 + -16x3 = 16x3 + -16x3

Combine like terms: 16x3 + -16x3 = 0
0 = 16x3 + -16x3

Combine like terms: 16x3 + -16x3 = 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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