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Simplifying (X + -9)(X + 4) = 0 Reorder the terms: (-9 + X)(X + 4) = 0 Reorder the terms: (-9 + X)(4 + X) = 0 Multiply (-9 + X) * (4 + X) (-9(4 + X) + X(4 + X)) = 0 ((4 * -9 + X * -9) + X(4 + X)) = 0 ((-36 + -9X) + X(4 + X)) = 0 (-36 + -9X + (4 * X + X * X)) = 0 (-36 + -9X + (4X + X2)) = 0 Combine like terms: -9X + 4X = -5X (-36 + -5X + X2) = 0 Solving -36 + -5X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (-4 + -1X)(9 + -1X) = 0Subproblem 1
Set the factor '(-4 + -1X)' equal to zero and attempt to solve: Simplifying -4 + -1X = 0 Solving -4 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1X = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1X = 0 + 4 -1X = 0 + 4 Combine like terms: 0 + 4 = 4 -1X = 4 Divide each side by '-1'. X = -4 Simplifying X = -4Subproblem 2
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 = 9Solution
X = {-4, 9}
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