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Simplifying (x + -3)(x + 3) = 40 Reorder the terms: (-3 + x)(x + 3) = 40 Reorder the terms: (-3 + x)(3 + x) = 40 Multiply (-3 + x) * (3 + x) (-3(3 + x) + x(3 + x)) = 40 ((3 * -3 + x * -3) + x(3 + x)) = 40 ((-9 + -3x) + x(3 + x)) = 40 (-9 + -3x + (3 * x + x * x)) = 40 (-9 + -3x + (3x + x2)) = 40 Combine like terms: -3x + 3x = 0 (-9 + 0 + x2) = 40 (-9 + x2) = 40 Solving -9 + x2 = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x2 = 40 + 9 Combine like terms: -9 + 9 = 0 0 + x2 = 40 + 9 x2 = 40 + 9 Combine like terms: 40 + 9 = 49 x2 = 49 Simplifying x2 = 49 Take the square root of each side: x = {-7, 7}
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