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Simplifying (m + 5)(M + 7) = 0 Reorder the terms: (5 + m)(M + 7) = 0 Reorder the terms: (5 + m)(7 + M) = 0 Multiply (5 + m) * (7 + M) (5(7 + M) + m(7 + M)) = 0 ((7 * 5 + M * 5) + m(7 + M)) = 0 ((35 + 5M) + m(7 + M)) = 0 (35 + 5M + (7 * m + M * m)) = 0 (35 + 5M + (7m + mM)) = 0 (35 + 5M + 7m + mM) = 0 Solving 35 + 5M + 7m + mM = 0 Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + 5M + 7m + -35 + mM = 0 + -35 Reorder the terms: 35 + -35 + 5M + 7m + mM = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 5M + 7m + mM = 0 + -35 5M + 7m + mM = 0 + -35 Combine like terms: 0 + -35 = -35 5M + 7m + mM = -35 Add '-7m' to each side of the equation. 5M + 7m + -7m + mM = -35 + -7m Combine like terms: 7m + -7m = 0 5M + 0 + mM = -35 + -7m 5M + mM = -35 + -7m Reorder the terms: 35 + 5M + 7m + mM = -35 + -7m + 35 + 7m Reorder the terms: 35 + 5M + 7m + mM = -35 + 35 + -7m + 7m Combine like terms: -35 + 35 = 0 35 + 5M + 7m + mM = 0 + -7m + 7m 35 + 5M + 7m + mM = -7m + 7m Combine like terms: -7m + 7m = 0 35 + 5M + 7m + mM = 0 The solution to this equation could not be determined.
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