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Simplifying 250x + -2x2 = 7200 Solving 250x + -2x2 = 7200 Solving for variable 'x'. Reorder the terms: -7200 + 250x + -2x2 = 7200 + -7200 Combine like terms: 7200 + -7200 = 0 -7200 + 250x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3600 + 125x + -1x2) = 0 Factor a trinomial. 2((-80 + x)(45 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-80 + x)' equal to zero and attempt to solve: Simplifying -80 + x = 0 Solving -80 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + x = 0 + 80 Combine like terms: -80 + 80 = 0 0 + x = 0 + 80 x = 0 + 80 Combine like terms: 0 + 80 = 80 x = 80 Simplifying x = 80Subproblem 2
Set the factor '(45 + -1x)' equal to zero and attempt to solve: Simplifying 45 + -1x = 0 Solving 45 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -1x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = 0 + -45 -1x = 0 + -45 Combine like terms: 0 + -45 = -45 -1x = -45 Divide each side by '-1'. x = 45 Simplifying x = 45Solution
x = {80, 45}
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