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Simplifying 33x(x + 6) = 9240 Reorder the terms: 33x(6 + x) = 9240 (6 * 33x + x * 33x) = 9240 (198x + 33x2) = 9240 Solving 198x + 33x2 = 9240 Solving for variable 'x'. Reorder the terms: -9240 + 198x + 33x2 = 9240 + -9240 Combine like terms: 9240 + -9240 = 0 -9240 + 198x + 33x2 = 0 Factor out the Greatest Common Factor (GCF), '33'. 33(-280 + 6x + x2) = 0 Factor a trinomial. 33((-20 + -1x)(14 + -1x)) = 0 Ignore the factor 33.Subproblem 1
Set the factor '(-20 + -1x)' equal to zero and attempt to solve: Simplifying -20 + -1x = 0 Solving -20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 0 + 20 -1x = 0 + 20 Combine like terms: 0 + 20 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Solution
x = {-20, 14}
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