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Simplifying (x + -8)(x + 8) = 40 Reorder the terms: (-8 + x)(x + 8) = 40 Reorder the terms: (-8 + x)(8 + x) = 40 Multiply (-8 + x) * (8 + x) (-8(8 + x) + x(8 + x)) = 40 ((8 * -8 + x * -8) + x(8 + x)) = 40 ((-64 + -8x) + x(8 + x)) = 40 (-64 + -8x + (8 * x + x * x)) = 40 (-64 + -8x + (8x + x2)) = 40 Combine like terms: -8x + 8x = 0 (-64 + 0 + x2) = 40 (-64 + x2) = 40 Solving -64 + x2 = 40 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + x2 = 40 + 64 Combine like terms: -64 + 64 = 0 0 + x2 = 40 + 64 x2 = 40 + 64 Combine like terms: 40 + 64 = 104 x2 = 104 Simplifying x2 = 104 Take the square root of each side: x = {-10.198039027, 10.198039027}
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