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