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Simplifying (x + -3)(x + 3) = x2 + -6x + 9 Reorder the terms: (-3 + x)(x + 3) = x2 + -6x + 9 Reorder the terms: (-3 + x)(3 + x) = x2 + -6x + 9 Multiply (-3 + x) * (3 + x) (-3(3 + x) + x(3 + x)) = x2 + -6x + 9 ((3 * -3 + x * -3) + x(3 + x)) = x2 + -6x + 9 ((-9 + -3x) + x(3 + x)) = x2 + -6x + 9 (-9 + -3x + (3 * x + x * x)) = x2 + -6x + 9 (-9 + -3x + (3x + x2)) = x2 + -6x + 9 Combine like terms: -3x + 3x = 0 (-9 + 0 + x2) = x2 + -6x + 9 (-9 + x2) = x2 + -6x + 9 Reorder the terms: -9 + x2 = 9 + -6x + x2 Add '-1x2' to each side of the equation. -9 + x2 + -1x2 = 9 + -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -9 + 0 = 9 + -6x + x2 + -1x2 -9 = 9 + -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -9 = 9 + -6x + 0 -9 = 9 + -6x Solving -9 = 9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -9 + 6x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 -9 + 6x = 9 + 0 -9 + 6x = 9 Add '9' to each side of the equation. -9 + 9 + 6x = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 6x = 9 + 9 6x = 9 + 9 Combine like terms: 9 + 9 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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