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Simplifying 0 = x2 + -14x + 45 Reorder the terms: 0 = 45 + -14x + x2 Solving 0 = 45 + -14x + x2 Solving for variable 'x'. Combine like terms: 0 + -45 = -45 -45 + 14x + -1x2 = 45 + -14x + x2 + -45 + 14x + -1x2 Reorder the terms: -45 + 14x + -1x2 = 45 + -45 + -14x + 14x + x2 + -1x2 Combine like terms: 45 + -45 = 0 -45 + 14x + -1x2 = 0 + -14x + 14x + x2 + -1x2 -45 + 14x + -1x2 = -14x + 14x + x2 + -1x2 Combine like terms: -14x + 14x = 0 -45 + 14x + -1x2 = 0 + x2 + -1x2 -45 + 14x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -45 + 14x + -1x2 = 0 Factor a trinomial. (-9 + x)(5 + -1x) = 0Subproblem 1
Set the factor '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 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 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9Subproblem 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 = {9, 5}
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