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