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Simplifying 0 = -80x2 + 310x Reorder the terms: 0 = 310x + -80x2 Solving 0 = 310x + -80x2 Solving for variable 'x'. Remove the zero: -310x + 80x2 = 310x + -80x2 + -310x + 80x2 Reorder the terms: -310x + 80x2 = 310x + -310x + -80x2 + 80x2 Combine like terms: 310x + -310x = 0 -310x + 80x2 = 0 + -80x2 + 80x2 -310x + 80x2 = -80x2 + 80x2 Combine like terms: -80x2 + 80x2 = 0 -310x + 80x2 = 0 Factor out the Greatest Common Factor (GCF), '10x'. 10x(-31 + 8x) = 0 Ignore the factor 10.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 + 8x)' equal to zero and attempt to solve: Simplifying -31 + 8x = 0 Solving -31 + 8x = 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 + 8x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 8x = 0 + 31 8x = 0 + 31 Combine like terms: 0 + 31 = 31 8x = 31 Divide each side by '8'. x = 3.875 Simplifying x = 3.875Solution
x = {0, 3.875}
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