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Simplifying (x + 3)(x + -3) = x + -9 Reorder the terms: (3 + x)(x + -3) = x + -9 Reorder the terms: (3 + x)(-3 + x) = x + -9 Multiply (3 + x) * (-3 + x) (3(-3 + x) + x(-3 + x)) = x + -9 ((-3 * 3 + x * 3) + x(-3 + x)) = x + -9 ((-9 + 3x) + x(-3 + x)) = x + -9 (-9 + 3x + (-3 * x + x * x)) = x + -9 (-9 + 3x + (-3x + x2)) = x + -9 Combine like terms: 3x + -3x = 0 (-9 + 0 + x2) = x + -9 (-9 + x2) = x + -9 Reorder the terms: -9 + x2 = -9 + x Add '9' to each side of the equation. -9 + 9 + x2 = -9 + 9 + x Combine like terms: -9 + 9 = 0 0 + x2 = -9 + 9 + x x2 = -9 + 9 + x Combine like terms: -9 + 9 = 0 x2 = 0 + x x2 = x Solving x2 = x Solving for variable 'x'. Reorder the terms: -1x + x2 = x + -1x Combine like terms: x + -1x = 0 -1x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1 + 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 '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Solution
x = {0, 1}
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