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Simplifying 4x * 8 = 4x2 * 16x * 16 Reorder the terms for easier multiplication: 4 * 8x = 4x2 * 16x * 16 Multiply 4 * 8 32x = 4x2 * 16x * 16 Reorder the terms for easier multiplication: 32x = 4 * 16 * 16x2 * x Multiply 4 * 16 32x = 64 * 16x2 * x Multiply 64 * 16 32x = 1024x2 * x Multiply x2 * x 32x = 1024x3 Solving 32x = 1024x3 Solving for variable 'x'. Combine like terms: 1024x3 + -1024x3 = 0 32x + -1024x3 = 0 Factor out the Greatest Common Factor (GCF), '32x'. 32x(1 + -32x2) = 0 Ignore the factor 32.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 '(1 + -32x2)' equal to zero and attempt to solve: Simplifying 1 + -32x2 = 0 Solving 1 + -32x2 = 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 + -32x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -32x2 = 0 + -1 -32x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -32x2 = -1 Divide each side by '-32'. x2 = 0.03125 Simplifying x2 = 0.03125 Take the square root of each side: x = {-0.176776695, 0.176776695}Solution
x = {0, -0.176776695, 0.176776695}
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