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Simplifying 0 = x2 + -36x + 324 Reorder the terms: 0 = 324 + -36x + x2 Solving 0 = 324 + -36x + x2 Solving for variable 'x'. Combine like terms: 0 + -324 = -324 -324 + 36x + -1x2 = 324 + -36x + x2 + -324 + 36x + -1x2 Reorder the terms: -324 + 36x + -1x2 = 324 + -324 + -36x + 36x + x2 + -1x2 Combine like terms: 324 + -324 = 0 -324 + 36x + -1x2 = 0 + -36x + 36x + x2 + -1x2 -324 + 36x + -1x2 = -36x + 36x + x2 + -1x2 Combine like terms: -36x + 36x = 0 -324 + 36x + -1x2 = 0 + x2 + -1x2 -324 + 36x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -324 + 36x + -1x2 = 0 Factor a trinomial. (-18 + x)(18 + -1x) = 0Subproblem 1
Set the factor '(-18 + x)' equal to zero and attempt to solve: Simplifying -18 + x = 0 Solving -18 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + x = 0 + 18 x = 0 + 18 Combine like terms: 0 + 18 = 18 x = 18 Simplifying x = 18Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Solution
x = {18, 18}
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