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Simplifying -50x2 + 450x + 20000 = 0 Reorder the terms: 20000 + 450x + -50x2 = 0 Solving 20000 + 450x + -50x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '50'. 50(400 + 9x + -1x2) = 0 Factor a trinomial. 50((25 + -1x)(16 + x)) = 0 Ignore the factor 50.Subproblem 1
Set the factor '(25 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25Subproblem 2
Set the factor '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Simplifying x = -16Solution
x = {25, -16}
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