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Simplifying 0 = 3x2 + -6x + -297 Reorder the terms: 0 = -297 + -6x + 3x2 Solving 0 = -297 + -6x + 3x2 Solving for variable 'x'. Combine like terms: 0 + 297 = 297 297 + 6x + -3x2 = -297 + -6x + 3x2 + 297 + 6x + -3x2 Reorder the terms: 297 + 6x + -3x2 = -297 + 297 + -6x + 6x + 3x2 + -3x2 Combine like terms: -297 + 297 = 0 297 + 6x + -3x2 = 0 + -6x + 6x + 3x2 + -3x2 297 + 6x + -3x2 = -6x + 6x + 3x2 + -3x2 Combine like terms: -6x + 6x = 0 297 + 6x + -3x2 = 0 + 3x2 + -3x2 297 + 6x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 297 + 6x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(99 + 2x + -1x2) = 0 Factor a trinomial. 3((11 + -1x)(9 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 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 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Subproblem 2
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Solution
x = {11, -9}
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