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Simplifying x = -16x2 + 32x Reorder the terms: x = 32x + -16x2 Solving x = 32x + -16x2 Solving for variable 'x'. Combine like terms: x + -32x = -31x -31x + 16x2 = 32x + -16x2 + -32x + 16x2 Reorder the terms: -31x + 16x2 = 32x + -32x + -16x2 + 16x2 Combine like terms: 32x + -32x = 0 -31x + 16x2 = 0 + -16x2 + 16x2 -31x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -31x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-31 + 16x) = 0Subproblem 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 '(-31 + 16x)' equal to zero and attempt to solve: Simplifying -31 + 16x = 0 Solving -31 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 16x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 16x = 0 + 31 16x = 0 + 31 Combine like terms: 0 + 31 = 31 16x = 31 Divide each side by '16'. x = 1.9375 Simplifying x = 1.9375Solution
x = {0, 1.9375}
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