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Simplifying (x + 6)(x + -6) = 13 Reorder the terms: (6 + x)(x + -6) = 13 Reorder the terms: (6 + x)(-6 + x) = 13 Multiply (6 + x) * (-6 + x) (6(-6 + x) + x(-6 + x)) = 13 ((-6 * 6 + x * 6) + x(-6 + x)) = 13 ((-36 + 6x) + x(-6 + x)) = 13 (-36 + 6x + (-6 * x + x * x)) = 13 (-36 + 6x + (-6x + x2)) = 13 Combine like terms: 6x + -6x = 0 (-36 + 0 + x2) = 13 (-36 + x2) = 13 Solving -36 + x2 = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + x2 = 13 + 36 Combine like terms: -36 + 36 = 0 0 + x2 = 13 + 36 x2 = 13 + 36 Combine like terms: 13 + 36 = 49 x2 = 49 Simplifying x2 = 49 Take the square root of each side: x = {-7, 7}
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