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Simplifying 0 = -3x2 + 66x + -255 Reorder the terms: 0 = -255 + 66x + -3x2 Solving 0 = -255 + 66x + -3x2 Solving for variable 'x'. Combine like terms: 0 + 255 = 255 255 + -66x + 3x2 = -255 + 66x + -3x2 + 255 + -66x + 3x2 Reorder the terms: 255 + -66x + 3x2 = -255 + 255 + 66x + -66x + -3x2 + 3x2 Combine like terms: -255 + 255 = 0 255 + -66x + 3x2 = 0 + 66x + -66x + -3x2 + 3x2 255 + -66x + 3x2 = 66x + -66x + -3x2 + 3x2 Combine like terms: 66x + -66x = 0 255 + -66x + 3x2 = 0 + -3x2 + 3x2 255 + -66x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 255 + -66x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(85 + -22x + x2) = 0 Factor a trinomial. 3((5 + -1x)(17 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17Solution
x = {5, 17}
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