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Simplifying 93 = 3x2 + 9x + 9 Reorder the terms: 93 = 9 + 9x + 3x2 Solving 93 = 9 + 9x + 3x2 Solving for variable 'x'. Combine like terms: 93 + -9 = 84 84 + -9x + -3x2 = 9 + 9x + 3x2 + -9 + -9x + -3x2 Reorder the terms: 84 + -9x + -3x2 = 9 + -9 + 9x + -9x + 3x2 + -3x2 Combine like terms: 9 + -9 = 0 84 + -9x + -3x2 = 0 + 9x + -9x + 3x2 + -3x2 84 + -9x + -3x2 = 9x + -9x + 3x2 + -3x2 Combine like terms: 9x + -9x = 0 84 + -9x + -3x2 = 0 + 3x2 + -3x2 84 + -9x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 84 + -9x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(28 + -3x + -1x2) = 0 Factor a trinomial. 3((4 + -1x)(7 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {4, -7}
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