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Simplifying 8070 = x2 + -20x + 70 Reorder the terms: 8070 = 70 + -20x + x2 Solving 8070 = 70 + -20x + x2 Solving for variable 'x'. Combine like terms: 8070 + -70 = 8000 8000 + 20x + -1x2 = 70 + -20x + x2 + -70 + 20x + -1x2 Reorder the terms: 8000 + 20x + -1x2 = 70 + -70 + -20x + 20x + x2 + -1x2 Combine like terms: 70 + -70 = 0 8000 + 20x + -1x2 = 0 + -20x + 20x + x2 + -1x2 8000 + 20x + -1x2 = -20x + 20x + x2 + -1x2 Combine like terms: -20x + 20x = 0 8000 + 20x + -1x2 = 0 + x2 + -1x2 8000 + 20x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8000 + 20x + -1x2 = 0 Factor a trinomial. (100 + -1x)(80 + x) = 0Subproblem 1
Set the factor '(100 + -1x)' equal to zero and attempt to solve: Simplifying 100 + -1x = 0 Solving 100 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -1x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -1x = 0 + -100 -1x = 0 + -100 Combine like terms: 0 + -100 = -100 -1x = -100 Divide each side by '-1'. x = 100 Simplifying x = 100Subproblem 2
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 = -80Solution
x = {100, -80}
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