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Simplifying (x + 1)(x + -3) + 3 = 0 Reorder the terms: (1 + x)(x + -3) + 3 = 0 Reorder the terms: (1 + x)(-3 + x) + 3 = 0 Multiply (1 + x) * (-3 + x) (1(-3 + x) + x(-3 + x)) + 3 = 0 ((-3 * 1 + x * 1) + x(-3 + x)) + 3 = 0 ((-3 + 1x) + x(-3 + x)) + 3 = 0 (-3 + 1x + (-3 * x + x * x)) + 3 = 0 (-3 + 1x + (-3x + x2)) + 3 = 0 Combine like terms: 1x + -3x = -2x (-3 + -2x + x2) + 3 = 0 Reorder the terms: -3 + 3 + -2x + x2 = 0 Combine like terms: -3 + 3 = 0 0 + -2x + x2 = 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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