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Simplifying x2 + -5x + 700 = 1000 Reorder the terms: 700 + -5x + x2 = 1000 Solving 700 + -5x + x2 = 1000 Solving for variable 'x'. Reorder the terms: 700 + -1000 + -5x + x2 = 1000 + -1000 Combine like terms: 700 + -1000 = -300 -300 + -5x + x2 = 1000 + -1000 Combine like terms: 1000 + -1000 = 0 -300 + -5x + x2 = 0 Factor a trinomial. (-15 + -1x)(20 + -1x) = 0Subproblem 1
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 = -15Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {-15, 20}
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