(x-4)x(x-4)=8x(2-x)

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


Simplifying
(x + -4) * x(x + -4) = 8x(2 + -1x)

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

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

Reorder the terms for easier multiplication:
x(-4 + x)(-4 + x) = 8x(2 + -1x)

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

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

Add '-16x' to each side of the equation.
16x + -8x2 + -16x + x3 = 16x + -16x + -8x2

Reorder the terms:
16x + -16x + -8x2 + x3 = 16x + -16x + -8x2

Combine like terms: 16x + -16x = 0
0 + -8x2 + x3 = 16x + -16x + -8x2
-8x2 + x3 = 16x + -16x + -8x2

Combine like terms: 16x + -16x = 0
-8x2 + x3 = 0 + -8x2
-8x2 + x3 = -8x2

Add '8x2' to each side of the equation.
-8x2 + 8x2 + x3 = -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
0 + x3 = -8x2 + 8x2
x3 = -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
x3 = 0

Solving
x3 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Simplifying
x3 = 0

The solution to this equation could not be determined.

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