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Simplifying 0 = 92x2 + -20x Reorder the terms: 0 = -20x + 92x2 Solving 0 = -20x + 92x2 Solving for variable 'x'. Remove the zero: 20x + -92x2 = -20x + 92x2 + 20x + -92x2 Reorder the terms: 20x + -92x2 = -20x + 20x + 92x2 + -92x2 Combine like terms: -20x + 20x = 0 20x + -92x2 = 0 + 92x2 + -92x2 20x + -92x2 = 92x2 + -92x2 Combine like terms: 92x2 + -92x2 = 0 20x + -92x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(5 + -23x) = 0 Ignore the factor 4.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 '(5 + -23x)' equal to zero and attempt to solve: Simplifying 5 + -23x = 0 Solving 5 + -23x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -23x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -23x = 0 + -5 -23x = 0 + -5 Combine like terms: 0 + -5 = -5 -23x = -5 Divide each side by '-23'. x = 0.2173913043 Simplifying x = 0.2173913043Solution
x = {0, 0.2173913043}
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