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Simplifying X2 + 8X + 15 = 24 Reorder the terms: 15 + 8X + X2 = 24 Solving 15 + 8X + X2 = 24 Solving for variable 'X'. Reorder the terms: 15 + -24 + 8X + X2 = 24 + -24 Combine like terms: 15 + -24 = -9 -9 + 8X + X2 = 24 + -24 Combine like terms: 24 + -24 = 0 -9 + 8X + X2 = 0 Factor a trinomial. (-9 + -1X)(1 + -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 '(1 + -1X)' equal to zero and attempt to solve: Simplifying 1 + -1X = 0 Solving 1 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1X = 0 + -1 -1X = 0 + -1 Combine like terms: 0 + -1 = -1 -1X = -1 Divide each side by '-1'. X = 1 Simplifying X = 1Solution
X = {-9, 1}
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