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Simplifying (x + -1)(x + -2) = 2 Reorder the terms: (-1 + x)(x + -2) = 2 Reorder the terms: (-1 + x)(-2 + x) = 2 Multiply (-1 + x) * (-2 + x) (-1(-2 + x) + x(-2 + x)) = 2 ((-2 * -1 + x * -1) + x(-2 + x)) = 2 ((2 + -1x) + x(-2 + x)) = 2 (2 + -1x + (-2 * x + x * x)) = 2 (2 + -1x + (-2x + x2)) = 2 Combine like terms: -1x + -2x = -3x (2 + -3x + x2) = 2 Add '-2' to each side of the equation. 2 + -3x + -2 + x2 = 2 + -2 Reorder the terms: 2 + -2 + -3x + x2 = 2 + -2 Combine like terms: 2 + -2 = 0 0 + -3x + x2 = 2 + -2 -3x + x2 = 2 + -2 Combine like terms: 2 + -2 = 0 -3x + x2 = 0 Solving -3x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-3 + 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 '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 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 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Solution
x = {0, 3}
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