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Simplifying 3x(x + 2) = 297 Reorder the terms: 3x(2 + x) = 297 (2 * 3x + x * 3x) = 297 (6x + 3x2) = 297 Solving 6x + 3x2 = 297 Solving for variable 'x'. Reorder the terms: -297 + 6x + 3x2 = 297 + -297 Combine like terms: 297 + -297 = 0 -297 + 6x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-99 + 2x + x2) = 0 Factor a trinomial. 3((-11 + -1x)(9 + -1x)) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-11, 9}
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