(3-2x)(4x-1)=(8-x)(8x-1)-51x

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Solution for (3-2x)(4x-1)=(8-x)(8x-1)-51x equation: 


Simplifying
(3 + -2x)(4x + -1) = (8 + -1x)(8x + -1) + -51x

Reorder the terms:
(3 + -2x)(-1 + 4x) = (8 + -1x)(8x + -1) + -51x

Multiply (3 + -2x) * (-1 + 4x)
(3(-1 + 4x) + -2x * (-1 + 4x)) = (8 + -1x)(8x + -1) + -51x
((-1 * 3 + 4x * 3) + -2x * (-1 + 4x)) = (8 + -1x)(8x + -1) + -51x
((-3 + 12x) + -2x * (-1 + 4x)) = (8 + -1x)(8x + -1) + -51x
(-3 + 12x + (-1 * -2x + 4x * -2x)) = (8 + -1x)(8x + -1) + -51x
(-3 + 12x + (2x + -8x2)) = (8 + -1x)(8x + -1) + -51x

Combine like terms: 12x + 2x = 14x
(-3 + 14x + -8x2) = (8 + -1x)(8x + -1) + -51x

Reorder the terms:
-3 + 14x + -8x2 = (8 + -1x)(-1 + 8x) + -51x

Multiply (8 + -1x) * (-1 + 8x)
-3 + 14x + -8x2 = (8(-1 + 8x) + -1x * (-1 + 8x)) + -51x
-3 + 14x + -8x2 = ((-1 * 8 + 8x * 8) + -1x * (-1 + 8x)) + -51x
-3 + 14x + -8x2 = ((-8 + 64x) + -1x * (-1 + 8x)) + -51x
-3 + 14x + -8x2 = (-8 + 64x + (-1 * -1x + 8x * -1x)) + -51x
-3 + 14x + -8x2 = (-8 + 64x + (1x + -8x2)) + -51x

Combine like terms: 64x + 1x = 65x
-3 + 14x + -8x2 = (-8 + 65x + -8x2) + -51x

Reorder the terms:
-3 + 14x + -8x2 = -8 + 65x + -51x + -8x2

Combine like terms: 65x + -51x = 14x
-3 + 14x + -8x2 = -8 + 14x + -8x2

Add '-14x' to each side of the equation.
-3 + 14x + -14x + -8x2 = -8 + 14x + -14x + -8x2

Combine like terms: 14x + -14x = 0
-3 + 0 + -8x2 = -8 + 14x + -14x + -8x2
-3 + -8x2 = -8 + 14x + -14x + -8x2

Combine like terms: 14x + -14x = 0
-3 + -8x2 = -8 + 0 + -8x2
-3 + -8x2 = -8 + -8x2

Add '8x2' to each side of the equation.
-3 + -8x2 + 8x2 = -8 + -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
-3 + 0 = -8 + -8x2 + 8x2
-3 = -8 + -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
-3 = -8 + 0
-3 = -8

Solving
-3 = -8

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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