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Simplifying (X + -3)(X + -2) + -6 = 0 Reorder the terms: (-3 + X)(X + -2) + -6 = 0 Reorder the terms: (-3 + X)(-2 + X) + -6 = 0 Multiply (-3 + X) * (-2 + X) (-3(-2 + X) + X(-2 + X)) + -6 = 0 ((-2 * -3 + X * -3) + X(-2 + X)) + -6 = 0 ((6 + -3X) + X(-2 + X)) + -6 = 0 (6 + -3X + (-2 * X + X * X)) + -6 = 0 (6 + -3X + (-2X + X2)) + -6 = 0 Combine like terms: -3X + -2X = -5X (6 + -5X + X2) + -6 = 0 Reorder the terms: 6 + -6 + -5X + X2 = 0 Combine like terms: 6 + -6 = 0 0 + -5X + X2 = 0 -5X + X2 = 0 Solving -5X + X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X'. X(-5 + X) = 0Subproblem 1
Set the factor 'X' equal to zero and attempt to solve: Simplifying X = 0 Solving X = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X = 0Subproblem 2
Set the factor '(-5 + X)' equal to zero and attempt to solve: Simplifying -5 + X = 0 Solving -5 + X = 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 + X = 0 + 5 Combine like terms: -5 + 5 = 0 0 + X = 0 + 5 X = 0 + 5 Combine like terms: 0 + 5 = 5 X = 5 Simplifying X = 5Solution
X = {0, 5}
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