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Simplifying (m + -3)(m + 3) = 54 Reorder the terms: (-3 + m)(m + 3) = 54 Reorder the terms: (-3 + m)(3 + m) = 54 Multiply (-3 + m) * (3 + m) (-3(3 + m) + m(3 + m)) = 54 ((3 * -3 + m * -3) + m(3 + m)) = 54 ((-9 + -3m) + m(3 + m)) = 54 (-9 + -3m + (3 * m + m * m)) = 54 (-9 + -3m + (3m + m2)) = 54 Combine like terms: -3m + 3m = 0 (-9 + 0 + m2) = 54 (-9 + m2) = 54 Solving -9 + m2 = 54 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + m2 = 54 + 9 Combine like terms: -9 + 9 = 0 0 + m2 = 54 + 9 m2 = 54 + 9 Combine like terms: 54 + 9 = 63 m2 = 63 Simplifying m2 = 63 Take the square root of each side: m = {-7.937253933, 7.937253933}
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