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Simplifying 95x + -200 + -1x2 = 1000 Reorder the terms: -200 + 95x + -1x2 = 1000 Solving -200 + 95x + -1x2 = 1000 Solving for variable 'x'. Reorder the terms: -200 + -1000 + 95x + -1x2 = 1000 + -1000 Combine like terms: -200 + -1000 = -1200 -1200 + 95x + -1x2 = 1000 + -1000 Combine like terms: 1000 + -1000 = 0 -1200 + 95x + -1x2 = 0 Factor a trinomial. (-80 + x)(15 + -1x) = 0Subproblem 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 '(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 = {80, 15}
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