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Simplifying 0 = 4x2 + -31x Reorder the terms: 0 = -31x + 4x2 Solving 0 = -31x + 4x2 Solving for variable 'x'. Remove the zero: 31x + -4x2 = -31x + 4x2 + 31x + -4x2 Reorder the terms: 31x + -4x2 = -31x + 31x + 4x2 + -4x2 Combine like terms: -31x + 31x = 0 31x + -4x2 = 0 + 4x2 + -4x2 31x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 31x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(31 + -4x) = 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 + -4x)' equal to zero and attempt to solve: Simplifying 31 + -4x = 0 Solving 31 + -4x = 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 + -4x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -4x = 0 + -31 -4x = 0 + -31 Combine like terms: 0 + -31 = -31 -4x = -31 Divide each side by '-4'. x = 7.75 Simplifying x = 7.75Solution
x = {0, 7.75}
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