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Simplifying X * X + -45X + 324 = 0 Multiply X * X X2 + -45X + 324 = 0 Reorder the terms: 324 + -45X + X2 = 0 Solving 324 + -45X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (9 + -1X)(36 + -1X) = 0Subproblem 1
Set the factor '(9 + -1X)' equal to zero and attempt to solve: Simplifying 9 + -1X = 0 Solving 9 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1X = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1X = 0 + -9 -1X = 0 + -9 Combine like terms: 0 + -9 = -9 -1X = -9 Divide each side by '-1'. X = 9 Simplifying X = 9Subproblem 2
Set the factor '(36 + -1X)' equal to zero and attempt to solve: Simplifying 36 + -1X = 0 Solving 36 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1X = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1X = 0 + -36 -1X = 0 + -36 Combine like terms: 0 + -36 = -36 -1X = -36 Divide each side by '-1'. X = 36 Simplifying X = 36Solution
X = {9, 36}
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