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Simplifying (x + 3)(x + -3) = (x + -3) Reorder the terms: (3 + x)(x + -3) = (x + -3) Reorder the terms: (3 + x)(-3 + x) = (x + -3) Multiply (3 + x) * (-3 + x) (3(-3 + x) + x(-3 + x)) = (x + -3) ((-3 * 3 + x * 3) + x(-3 + x)) = (x + -3) ((-9 + 3x) + x(-3 + x)) = (x + -3) (-9 + 3x + (-3 * x + x * x)) = (x + -3) (-9 + 3x + (-3x + x2)) = (x + -3) Combine like terms: 3x + -3x = 0 (-9 + 0 + x2) = (x + -3) (-9 + x2) = (x + -3) Reorder the terms: -9 + x2 = (-3 + x) Remove parenthesis around (-3 + x) -9 + x2 = -3 + x Solving -9 + x2 = -3 + x Solving for variable 'x'. Reorder the terms: -9 + 3 + -1x + x2 = -3 + x + 3 + -1x Combine like terms: -9 + 3 = -6 -6 + -1x + x2 = -3 + x + 3 + -1x Reorder the terms: -6 + -1x + x2 = -3 + 3 + x + -1x Combine like terms: -3 + 3 = 0 -6 + -1x + x2 = 0 + x + -1x -6 + -1x + x2 = x + -1x Combine like terms: x + -1x = 0 -6 + -1x + x2 = 0 Factor a trinomial. (-2 + -1x)(3 + -1x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 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 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-2, 3}
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