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Simplifying -50x2 + 1500x = 11250 Reorder the terms: 1500x + -50x2 = 11250 Solving 1500x + -50x2 = 11250 Solving for variable 'x'. Reorder the terms: -11250 + 1500x + -50x2 = 11250 + -11250 Combine like terms: 11250 + -11250 = 0 -11250 + 1500x + -50x2 = 0 Factor out the Greatest Common Factor (GCF), '50'. 50(-225 + 30x + -1x2) = 0 Factor a trinomial. 50((-15 + x)(15 + -1x)) = 0 Ignore the factor 50.Subproblem 1
Set the factor '(-15 + x)' equal to zero and attempt to solve: Simplifying -15 + x = 0 Solving -15 + x = 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 + x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x = 0 + 15 x = 0 + 15 Combine like terms: 0 + 15 = 15 x = 15 Simplifying x = 15Subproblem 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 = {15, 15}
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