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Simplifying 5x(x + 5) = 1500 Reorder the terms: 5x(5 + x) = 1500 (5 * 5x + x * 5x) = 1500 (25x + 5x2) = 1500 Solving 25x + 5x2 = 1500 Solving for variable 'x'. Reorder the terms: -1500 + 25x + 5x2 = 1500 + -1500 Combine like terms: 1500 + -1500 = 0 -1500 + 25x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-300 + 5x + x2) = 0 Factor a trinomial. 5((-20 + -1x)(15 + -1x)) = 0 Ignore the factor 5.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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