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Simplifying -2x2 + -31x = 0 Reorder the terms: -31x + -2x2 = 0 Solving -31x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(31 + 2x) = 0 Ignore the factor -1.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 '(31 + 2x)' equal to zero and attempt to solve: Simplifying 31 + 2x = 0 Solving 31 + 2x = 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 + 2x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 2x = 0 + -31 2x = 0 + -31 Combine like terms: 0 + -31 = -31 2x = -31 Divide each side by '2'. x = -15.5 Simplifying x = -15.5Solution
x = {0, -15.5}
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