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Simplifying -1(2X + 3)(X + -5) = 0 Reorder the terms: -1(3 + 2X)(X + -5) = 0 Reorder the terms: -1(3 + 2X)(-5 + X) = 0 Multiply (3 + 2X) * (-5 + X) -1(3(-5 + X) + 2X * (-5 + X)) = 0 -1((-5 * 3 + X * 3) + 2X * (-5 + X)) = 0 -1((-15 + 3X) + 2X * (-5 + X)) = 0 -1(-15 + 3X + (-5 * 2X + X * 2X)) = 0 -1(-15 + 3X + (-10X + 2X2)) = 0 Combine like terms: 3X + -10X = -7X -1(-15 + -7X + 2X2) = 0 (-15 * -1 + -7X * -1 + 2X2 * -1) = 0 (15 + 7X + -2X2) = 0 Solving 15 + 7X + -2X2 = 0 Solving for variable 'X'. Factor a trinomial. (5 + -1X)(3 + 2X) = 0Subproblem 1
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 = 5Subproblem 2
Set the factor '(3 + 2X)' equal to zero and attempt to solve: Simplifying 3 + 2X = 0 Solving 3 + 2X = 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 + 2X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2X = 0 + -3 2X = 0 + -3 Combine like terms: 0 + -3 = -3 2X = -3 Divide each side by '2'. X = -1.5 Simplifying X = -1.5Solution
X = {5, -1.5}
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