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Simplifying 900 = x2 + -20x + 100 Reorder the terms: 900 = 100 + -20x + x2 Solving 900 = 100 + -20x + x2 Solving for variable 'x'. Combine like terms: 900 + -100 = 800 800 + 20x + -1x2 = 100 + -20x + x2 + -100 + 20x + -1x2 Reorder the terms: 800 + 20x + -1x2 = 100 + -100 + -20x + 20x + x2 + -1x2 Combine like terms: 100 + -100 = 0 800 + 20x + -1x2 = 0 + -20x + 20x + x2 + -1x2 800 + 20x + -1x2 = -20x + 20x + x2 + -1x2 Combine like terms: -20x + 20x = 0 800 + 20x + -1x2 = 0 + x2 + -1x2 800 + 20x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 800 + 20x + -1x2 = 0 Factor a trinomial. (40 + -1x)(20 + x) = 0Subproblem 1
Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40Subproblem 2
Set the factor '(20 + x)' equal to zero and attempt to solve: Simplifying 20 + x = 0 Solving 20 + x = 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 + x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + x = 0 + -20 x = 0 + -20 Combine like terms: 0 + -20 = -20 x = -20 Simplifying x = -20Solution
x = {40, -20}
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