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Simplifying x2 + -10x + -20 = 180 Reorder the terms: -20 + -10x + x2 = 180 Solving -20 + -10x + x2 = 180 Solving for variable 'x'. Reorder the terms: -20 + -180 + -10x + x2 = 180 + -180 Combine like terms: -20 + -180 = -200 -200 + -10x + x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -200 + -10x + x2 = 0 Factor a trinomial. (-10 + -1x)(20 + -1x) = 0Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10Subproblem 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 = {-10, 20}
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