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Simplifying -10x2 + 750x + -9000 = 0 Reorder the terms: -9000 + 750x + -10x2 = 0 Solving -9000 + 750x + -10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10'. 10(-900 + 75x + -1x2) = 0 Factor a trinomial. 10((-60 + x)(15 + -1x)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-60 + x)' equal to zero and attempt to solve: Simplifying -60 + x = 0 Solving -60 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + x = 0 + 60 Combine like terms: -60 + 60 = 0 0 + x = 0 + 60 x = 0 + 60 Combine like terms: 0 + 60 = 60 x = 60 Simplifying x = 60Subproblem 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 = {60, 15}
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