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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 = 0Subproblem 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 = 8ahistwSolution
x = {0, 8ahistw}
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