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Simplifying (X + -9)(2X + 5) = 0 Reorder the terms: (-9 + X)(2X + 5) = 0 Reorder the terms: (-9 + X)(5 + 2X) = 0 Multiply (-9 + X) * (5 + 2X) (-9(5 + 2X) + X(5 + 2X)) = 0 ((5 * -9 + 2X * -9) + X(5 + 2X)) = 0 ((-45 + -18X) + X(5 + 2X)) = 0 (-45 + -18X + (5 * X + 2X * X)) = 0 (-45 + -18X + (5X + 2X2)) = 0 Combine like terms: -18X + 5X = -13X (-45 + -13X + 2X2) = 0 Solving -45 + -13X + 2X2 = 0 Solving for variable 'X'. Factor a trinomial. (-5 + -2X)(9 + -1X) = 0Subproblem 1
Set the factor '(-5 + -2X)' equal to zero and attempt to solve: Simplifying -5 + -2X = 0 Solving -5 + -2X = 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 + -2X = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2X = 0 + 5 -2X = 0 + 5 Combine like terms: 0 + 5 = 5 -2X = 5 Divide each side by '-2'. X = -2.5 Simplifying X = -2.5Subproblem 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 = {-2.5, 9}
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