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Simplifying (m + 2)(m + 3) = (m + 2)(m + 3) Reorder the terms: (2 + m)(m + 3) = (m + 2)(m + 3) Reorder the terms: (2 + m)(3 + m) = (m + 2)(m + 3) Multiply (2 + m) * (3 + m) (2(3 + m) + m(3 + m)) = (m + 2)(m + 3) ((3 * 2 + m * 2) + m(3 + m)) = (m + 2)(m + 3) ((6 + 2m) + m(3 + m)) = (m + 2)(m + 3) (6 + 2m + (3 * m + m * m)) = (m + 2)(m + 3) (6 + 2m + (3m + m2)) = (m + 2)(m + 3) Combine like terms: 2m + 3m = 5m (6 + 5m + m2) = (m + 2)(m + 3) Reorder the terms: 6 + 5m + m2 = (2 + m)(m + 3) Reorder the terms: 6 + 5m + m2 = (2 + m)(3 + m) Multiply (2 + m) * (3 + m) 6 + 5m + m2 = (2(3 + m) + m(3 + m)) 6 + 5m + m2 = ((3 * 2 + m * 2) + m(3 + m)) 6 + 5m + m2 = ((6 + 2m) + m(3 + m)) 6 + 5m + m2 = (6 + 2m + (3 * m + m * m)) 6 + 5m + m2 = (6 + 2m + (3m + m2)) Combine like terms: 2m + 3m = 5m 6 + 5m + m2 = (6 + 5m + m2) Add '-6' to each side of the equation. 6 + 5m + -6 + m2 = 6 + 5m + -6 + m2 Reorder the terms: 6 + -6 + 5m + m2 = 6 + 5m + -6 + m2 Combine like terms: 6 + -6 = 0 0 + 5m + m2 = 6 + 5m + -6 + m2 5m + m2 = 6 + 5m + -6 + m2 Reorder the terms: 5m + m2 = 6 + -6 + 5m + m2 Combine like terms: 6 + -6 = 0 5m + m2 = 0 + 5m + m2 5m + m2 = 5m + m2 Add '-5m' to each side of the equation. 5m + -5m + m2 = 5m + -5m + m2 Combine like terms: 5m + -5m = 0 0 + m2 = 5m + -5m + m2 m2 = 5m + -5m + m2 Combine like terms: 5m + -5m = 0 m2 = 0 + m2 m2 = m2 Add '-1m2' to each side of the equation. m2 + -1m2 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 0 = m2 + -1m2 Combine like terms: m2 + -1m2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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