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Simplifying 0 = (-16x * -16x) + 32x Reorder the terms for easier multiplication: 0 = (-16 * -16x * x) + 32x Multiply -16 * -16 0 = (256x * x) + 32x Multiply x * x 0 = (256x2) + 32x Reorder the terms: 0 = 32x + (256x2) Solving 0 = 32x + (256x2) Solving for variable 'x'. Remove the zero: -32x + (-256x2) = 32x + (256x2) + -32x + (-256x2) Reorder the terms: -32x + (-256x2) = 32x + -32x + (256x2) + (-256x2) Combine like terms: 32x + -32x = 0 -32x + (-256x2) = 0 + (256x2) + (-256x2) -32x + (-256x2) = (256x2) + (-256x2) Combine like terms: (256x2) + (-256x2) = 0 -32x + (-256x2) = 0 Factor out the Greatest Common Factor (GCF), '-32x'. -32x(1 + (8x)) = 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 + (8x))' equal to zero and attempt to solve: Simplifying 1 + (8x) = 0 Solving 1 + (8x) = 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 + (8x) = 0 + -1 Combine like terms: 1 + -1 = 0 0 + (8x) = 0 + -1 (8x) = 0 + -1 Combine like terms: 0 + -1 = -1 (8x) = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125Solution
x = {0, -0.125}
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