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Simplifying X2 + -45X + 450 = 0 Reorder the terms: 450 + -45X + X2 = 0 Solving 450 + -45X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (15 + -1X)(30 + -1X) = 0Subproblem 1
Set the factor '(15 + -1X)' equal to zero and attempt to solve: Simplifying 15 + -1X = 0 Solving 15 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1X = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1X = 0 + -15 -1X = 0 + -15 Combine like terms: 0 + -15 = -15 -1X = -15 Divide each side by '-1'. X = 15 Simplifying X = 15Subproblem 2
Set the factor '(30 + -1X)' equal to zero and attempt to solve: Simplifying 30 + -1X = 0 Solving 30 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1X = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1X = 0 + -30 -1X = 0 + -30 Combine like terms: 0 + -30 = -30 -1X = -30 Divide each side by '-1'. X = 30 Simplifying X = 30Solution
X = {15, 30}
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