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Simplifying -32x2 = 4x Solving -32x2 = 4x Solving for variable 'x'. Reorder the terms: -4x + -32x2 = 4x + -4x Combine like terms: 4x + -4x = 0 -4x + -32x2 = 0 Factor out the Greatest Common Factor (GCF), '-4x'. -4x(1 + 8x) = 0 Ignore the factor -4.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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