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Simplifying (3 + -5X)(1 + -2X) = 0 Multiply (3 + -5X) * (1 + -2X) (3(1 + -2X) + -5X * (1 + -2X)) = 0 ((1 * 3 + -2X * 3) + -5X * (1 + -2X)) = 0 ((3 + -6X) + -5X * (1 + -2X)) = 0 (3 + -6X + (1 * -5X + -2X * -5X)) = 0 (3 + -6X + (-5X + 10X2)) = 0 Combine like terms: -6X + -5X = -11X (3 + -11X + 10X2) = 0 Solving 3 + -11X + 10X2 = 0 Solving for variable 'X'. Factor a trinomial. (1 + -2X)(3 + -5X) = 0Subproblem 1
Set the factor '(1 + -2X)' equal to zero and attempt to solve: Simplifying 1 + -2X = 0 Solving 1 + -2X = 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 + -2X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2X = 0 + -1 -2X = 0 + -1 Combine like terms: 0 + -1 = -1 -2X = -1 Divide each side by '-2'. X = 0.5 Simplifying X = 0.5Subproblem 2
Set the factor '(3 + -5X)' equal to zero and attempt to solve: Simplifying 3 + -5X = 0 Solving 3 + -5X = 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 + -5X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5X = 0 + -3 -5X = 0 + -3 Combine like terms: 0 + -3 = -3 -5X = -3 Divide each side by '-5'. X = 0.6 Simplifying X = 0.6Solution
X = {0.5, 0.6}
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