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Simplifying 72x2 + -228x2 + 140x = 0 Reorder the terms: 140x + 72x2 + -228x2 = 0 Combine like terms: 72x2 + -228x2 = -156x2 140x + -156x2 = 0 Solving 140x + -156x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(35 + -39x) = 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 '(35 + -39x)' equal to zero and attempt to solve: Simplifying 35 + -39x = 0 Solving 35 + -39x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -39x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -39x = 0 + -35 -39x = 0 + -35 Combine like terms: 0 + -35 = -35 -39x = -35 Divide each side by '-39'. x = 0.8974358974 Simplifying x = 0.8974358974Solution
x = {0, 0.8974358974}
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