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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 = 33x 33x + 16x2 = -32x + -16x2 + 32x + 16x2 Reorder the terms: 33x + 16x2 = -32x + 32x + -16x2 + 16x2 Combine like terms: -32x + 32x = 0 33x + 16x2 = 0 + -16x2 + 16x2 33x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 33x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(33 + 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 '(33 + 16x)' equal to zero and attempt to solve: Simplifying 33 + 16x = 0 Solving 33 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 16x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 16x = 0 + -33 16x = 0 + -33 Combine like terms: 0 + -33 = -33 16x = -33 Divide each side by '16'. x = -2.0625 Simplifying x = -2.0625Solution
x = {0, -2.0625}
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