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Simplifying x2 + 18x + 5 = 180 Reorder the terms: 5 + 18x + x2 = 180 Solving 5 + 18x + x2 = 180 Solving for variable 'x'. Reorder the terms: 5 + -180 + 18x + x2 = 180 + -180 Combine like terms: 5 + -180 = -175 -175 + 18x + x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -175 + 18x + x2 = 0 Factor a trinomial. (-25 + -1x)(7 + -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 '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-25, 7}
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