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Simplifying 280x2 + -464x = -192 Reorder the terms: -464x + 280x2 = -192 Solving -464x + 280x2 = -192 Solving for variable 'x'. Reorder the terms: 192 + -464x + 280x2 = -192 + 192 Combine like terms: -192 + 192 = 0 192 + -464x + 280x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(24 + -58x + 35x2) = 0 Factor a trinomial. 8((4 + -5x)(6 + -7x)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Subproblem 2
Set the factor '(6 + -7x)' equal to zero and attempt to solve: Simplifying 6 + -7x = 0 Solving 6 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 0 + -6 -7x = 0 + -6 Combine like terms: 0 + -6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571Solution
x = {0.8, 0.8571428571}
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