(2x(4x+8x)2)2+(2x(4x-8x)2)2=512whatisx

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Solution for (2x(4x+8x)2)2+(2x(4x-8x)2)2=512whatisx equation:


Simplifying
(2x(4x + 8x) * 2) * 2 + (2x(4x + -8x) * 2) * 2 = 512whatisx

Combine like terms: 4x + 8x = 12x
(2x(12x) * 2) * 2 + (2x(4x + -8x) * 2) * 2 = 512whatisx

Remove parenthesis around (12x)
(2x * 12x * 2) * 2 + (2x(4x + -8x) * 2) * 2 = 512whatisx

Reorder the terms for easier multiplication:
(2 * 12 * 2x * x) * 2 + (2x(4x + -8x) * 2) * 2 = 512whatisx

Multiply 2 * 12
(24 * 2x * x) * 2 + (2x(4x + -8x) * 2) * 2 = 512whatisx

Multiply 24 * 2
(48x * x) * 2 + (2x(4x + -8x) * 2) * 2 = 512whatisx

Multiply x * x
(48x2) * 2 + (2x(4x + -8x) * 2) * 2 = 512whatisx

Remove parenthesis around (48x2)
48x2 * 2 + (2x(4x + -8x) * 2) * 2 = 512whatisx

Reorder the terms for easier multiplication:
48 * 2x2 + (2x(4x + -8x) * 2) * 2 = 512whatisx

Multiply 48 * 2
96x2 + (2x(4x + -8x) * 2) * 2 = 512whatisx

Combine like terms: 4x + -8x = -4x
96x2 + (2x(-4x) * 2) * 2 = 512whatisx

Remove parenthesis around (-4x)
96x2 + (2x * -4x * 2) * 2 = 512whatisx

Reorder the terms for easier multiplication:
96x2 + (2 * -4 * 2x * x) * 2 = 512whatisx

Multiply 2 * -4
96x2 + (-8 * 2x * x) * 2 = 512whatisx

Multiply -8 * 2
96x2 + (-16x * x) * 2 = 512whatisx

Multiply x * x
96x2 + (-16x2) * 2 = 512whatisx

Remove parenthesis around (-16x2)
96x2 + -16x2 * 2 = 512whatisx

Reorder the terms for easier multiplication:
96x2 + -16 * 2x2 = 512whatisx

Multiply -16 * 2
96x2 + -32x2 = 512whatisx

Combine like terms: 96x2 + -32x2 = 64x2
64x2 = 512whatisx

Solving
64x2 = 512ahistwx

Solving for variable 'x'.

Reorder the terms:
-512ahistwx + 64x2 = 512ahistwx + -512ahistwx

Combine like terms: 512ahistwx + -512ahistwx = 0
-512ahistwx + 64x2 = 0

Factor out the Greatest Common Factor (GCF), '64x'.
64x(-8ahistw + x) = 0

Ignore the factor 64.

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 '(-8ahistw + x)' equal to zero and attempt to solve: Simplifying -8ahistw + x = 0 Solving -8ahistw + x = 0 Move all terms containing x to the left, all other terms to the right. Add '8ahistw' to each side of the equation. -8ahistw + 8ahistw + x = 0 + 8ahistw Combine like terms: -8ahistw + 8ahistw = 0 0 + x = 0 + 8ahistw x = 0 + 8ahistw Remove the zero: x = 8ahistw Simplifying x = 8ahistw

Solution

x = {0, 8ahistw}

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