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Simplifying (2X + -5)(X + 3) = 0 Reorder the terms: (-5 + 2X)(X + 3) = 0 Reorder the terms: (-5 + 2X)(3 + X) = 0 Multiply (-5 + 2X) * (3 + X) (-5(3 + X) + 2X * (3 + X)) = 0 ((3 * -5 + X * -5) + 2X * (3 + X)) = 0 ((-15 + -5X) + 2X * (3 + X)) = 0 (-15 + -5X + (3 * 2X + X * 2X)) = 0 (-15 + -5X + (6X + 2X2)) = 0 Combine like terms: -5X + 6X = 1X (-15 + 1X + 2X2) = 0 Solving -15 + 1X + 2X2 = 0 Solving for variable 'X'. Factor a trinomial. (-3 + -1X)(5 + -2X) = 0Subproblem 1
Set the factor '(-3 + -1X)' equal to zero and attempt to solve: Simplifying -3 + -1X = 0 Solving -3 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1X = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1X = 0 + 3 -1X = 0 + 3 Combine like terms: 0 + 3 = 3 -1X = 3 Divide each side by '-1'. X = -3 Simplifying X = -3Subproblem 2
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 = 2.5Solution
X = {-3, 2.5}
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