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Simplifying (-4X + -6)(X + -5) = 0 Reorder the terms: (-6 + -4X)(X + -5) = 0 Reorder the terms: (-6 + -4X)(-5 + X) = 0 Multiply (-6 + -4X) * (-5 + X) (-6(-5 + X) + -4X * (-5 + X)) = 0 ((-5 * -6 + X * -6) + -4X * (-5 + X)) = 0 ((30 + -6X) + -4X * (-5 + X)) = 0 (30 + -6X + (-5 * -4X + X * -4X)) = 0 (30 + -6X + (20X + -4X2)) = 0 Combine like terms: -6X + 20X = 14X (30 + 14X + -4X2) = 0 Solving 30 + 14X + -4X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(15 + 7X + -2X2) = 0 Factor a trinomial. 2((5 + -1X)(3 + 2X)) = 0 Ignore the factor 2.Subproblem 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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