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Simplifying (1 + -1X)(6 + -4X) = 0 Multiply (1 + -1X) * (6 + -4X) (1(6 + -4X) + -1X * (6 + -4X)) = 0 ((6 * 1 + -4X * 1) + -1X * (6 + -4X)) = 0 ((6 + -4X) + -1X * (6 + -4X)) = 0 (6 + -4X + (6 * -1X + -4X * -1X)) = 0 (6 + -4X + (-6X + 4X2)) = 0 Combine like terms: -4X + -6X = -10X (6 + -10X + 4X2) = 0 Solving 6 + -10X + 4X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(3 + -5X + 2X2) = 0 Factor a trinomial. 2((1 + -1X)(3 + -2X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1X)' equal to zero and attempt to solve: Simplifying 1 + -1X = 0 Solving 1 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1X = 0 + -1 -1X = 0 + -1 Combine like terms: 0 + -1 = -1 -1X = -1 Divide each side by '-1'. X = 1 Simplifying X = 1Subproblem 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 = {1, 1.5}
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