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Simplifying 33x(x + 5) = 9900 Reorder the terms: 33x(5 + x) = 9900 (5 * 33x + x * 33x) = 9900 (165x + 33x2) = 9900 Solving 165x + 33x2 = 9900 Solving for variable 'x'. Reorder the terms: -9900 + 165x + 33x2 = 9900 + -9900 Combine like terms: 9900 + -9900 = 0 -9900 + 165x + 33x2 = 0 Factor out the Greatest Common Factor (GCF), '33'. 33(-300 + 5x + x2) = 0 Factor a trinomial. 33((-20 + -1x)(15 + -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 '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {-20, 15}
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