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Simplifying 9x2 + 6x = 99 Reorder the terms: 6x + 9x2 = 99 Solving 6x + 9x2 = 99 Solving for variable 'x'. Reorder the terms: -99 + 6x + 9x2 = 99 + -99 Combine like terms: 99 + -99 = 0 -99 + 6x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-33 + 2x + 3x2) = 0 Factor a trinomial. 3((-11 + -3x)(3 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-11 + -3x)' equal to zero and attempt to solve: Simplifying -11 + -3x = 0 Solving -11 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -3x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = 0 + 11 -3x = 0 + 11 Combine like terms: 0 + 11 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667Subproblem 2
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 = 3Solution
x = {-3.666666667, 3}
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