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Simplifying 280x2 + 256 = 544x Reorder the terms: 256 + 280x2 = 544x Solving 256 + 280x2 = 544x Solving for variable 'x'. Reorder the terms: 256 + -544x + 280x2 = 544x + -544x Combine like terms: 544x + -544x = 0 256 + -544x + 280x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(32 + -68x + 35x2) = 0 Factor a trinomial. 8((4 + -5x)(8 + -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 '(8 + -7x)' equal to zero and attempt to solve: Simplifying 8 + -7x = 0 Solving 8 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 0 + -8 -7x = 0 + -8 Combine like terms: 0 + -8 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143Solution
x = {0.8, 1.142857143}
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