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Simplifying -25x2 + 2350x + -26000 = 16000 Reorder the terms: -26000 + 2350x + -25x2 = 16000 Solving -26000 + 2350x + -25x2 = 16000 Solving for variable 'x'. Reorder the terms: -26000 + -16000 + 2350x + -25x2 = 16000 + -16000 Combine like terms: -26000 + -16000 = -42000 -42000 + 2350x + -25x2 = 16000 + -16000 Combine like terms: 16000 + -16000 = 0 -42000 + 2350x + -25x2 = 0 Factor out the Greatest Common Factor (GCF), '25'. 25(-1680 + 94x + -1x2) = 0 Factor a trinomial. 25((-70 + x)(24 + -1x)) = 0 Ignore the factor 25.Subproblem 1
Set the factor '(-70 + x)' equal to zero and attempt to solve: Simplifying -70 + x = 0 Solving -70 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + x = 0 + 70 Combine like terms: -70 + 70 = 0 0 + x = 0 + 70 x = 0 + 70 Combine like terms: 0 + 70 = 70 x = 70 Simplifying x = 70Subproblem 2
Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24Solution
x = {70, 24}
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