(4x*4x*y*y*y*y*y*y*y)*256=x

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Solution for (4x*4x*y*y*y*y*y*y*y)*256=x equation:


Simplifying
(4x * 4x * y * y * y * y * y * y * y) * 256 = x

Reorder the terms for easier multiplication:
(4 * 4x * x * y * y * y * y * y * y * y) * 256 = x

Multiply 4 * 4
(16x * x * y * y * y * y * y * y * y) * 256 = x

Multiply x * x
(16x2 * y * y * y * y * y * y * y) * 256 = x

Multiply x2 * y
(16x2y * y * y * y * y * y * y) * 256 = x

Multiply x2y * y
(16x2y2 * y * y * y * y * y) * 256 = x

Multiply x2y2 * y
(16x2y3 * y * y * y * y) * 256 = x

Multiply x2y3 * y
(16x2y4 * y * y * y) * 256 = x

Multiply x2y4 * y
(16x2y5 * y * y) * 256 = x

Multiply x2y5 * y
(16x2y6 * y) * 256 = x

Multiply x2y6 * y
(16x2y7) * 256 = x

Remove parenthesis around (16x2y7)
16x2y7 * 256 = x

Reorder the terms for easier multiplication:
16 * 256x2y7 = x

Multiply 16 * 256
4096x2y7 = x

Solving
4096x2y7 = x

Solving for variable 'x'.

Reorder the terms:
-1x + 4096x2y7 = x + -1x

Combine like terms: x + -1x = 0
-1x + 4096x2y7 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + 4096xy7) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-1 + 4096xy7)' equal to zero and attempt to solve: Simplifying -1 + 4096xy7 = 0 Solving -1 + 4096xy7 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4096xy7 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4096xy7 = 0 + 1 4096xy7 = 0 + 1 Combine like terms: 0 + 1 = 1 4096xy7 = 1 Divide each side by '4096y7'. x = 0.000244140625y-7 Simplifying x = 0.000244140625y-7

Solution

x = {0, 0.000244140625y-7}

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