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Simplifying 3x2 + 64 = 33x + -8 Reorder the terms: 64 + 3x2 = 33x + -8 Reorder the terms: 64 + 3x2 = -8 + 33x Solving 64 + 3x2 = -8 + 33x Solving for variable 'x'. Reorder the terms: 64 + 8 + -33x + 3x2 = -8 + 33x + 8 + -33x Combine like terms: 64 + 8 = 72 72 + -33x + 3x2 = -8 + 33x + 8 + -33x Reorder the terms: 72 + -33x + 3x2 = -8 + 8 + 33x + -33x Combine like terms: -8 + 8 = 0 72 + -33x + 3x2 = 0 + 33x + -33x 72 + -33x + 3x2 = 33x + -33x Combine like terms: 33x + -33x = 0 72 + -33x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(24 + -11x + x2) = 0 Factor a trinomial. 3((3 + -1x)(8 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {3, 8}
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