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Simplifying x2 + 20x + 55 = 180 Reorder the terms: 55 + 20x + x2 = 180 Solving 55 + 20x + x2 = 180 Solving for variable 'x'. Reorder the terms: 55 + -180 + 20x + x2 = 180 + -180 Combine like terms: 55 + -180 = -125 -125 + 20x + x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -125 + 20x + x2 = 0 Factor a trinomial. (-25 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(-25 + -1x)' equal to zero and attempt to solve: Simplifying -25 + -1x = 0 Solving -25 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -1x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -1x = 0 + 25 -1x = 0 + 25 Combine like terms: 0 + 25 = 25 -1x = 25 Divide each side by '-1'. x = -25 Simplifying x = -25Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-25, 5}
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