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Simplifying (5m + 1)(n2 + -2) = 0 Reorder the terms: (1 + 5m)(n2 + -2) = 0 Reorder the terms: (1 + 5m)(-2 + n2) = 0 Multiply (1 + 5m) * (-2 + n2) (1(-2 + n2) + 5m * (-2 + n2)) = 0 ((-2 * 1 + n2 * 1) + 5m * (-2 + n2)) = 0 ((-2 + 1n2) + 5m * (-2 + n2)) = 0 (-2 + 1n2 + (-2 * 5m + n2 * 5m)) = 0 (-2 + 1n2 + (-10m + 5mn2)) = 0 Reorder the terms: (-2 + -10m + 5mn2 + 1n2) = 0 (-2 + -10m + 5mn2 + 1n2) = 0 Solving -2 + -10m + 5mn2 + 1n2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -10m + 5mn2 + 2 + 1n2 = 0 + 2 Reorder the terms: -2 + 2 + -10m + 5mn2 + 1n2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -10m + 5mn2 + 1n2 = 0 + 2 -10m + 5mn2 + 1n2 = 0 + 2 Combine like terms: 0 + 2 = 2 -10m + 5mn2 + 1n2 = 2 Add '-1n2' to each side of the equation. -10m + 5mn2 + 1n2 + -1n2 = 2 + -1n2 Combine like terms: 1n2 + -1n2 = 0 -10m + 5mn2 + 0 = 2 + -1n2 -10m + 5mn2 = 2 + -1n2 Reorder the terms: -2 + -10m + 5mn2 + n2 = 2 + -1n2 + -2 + n2 Reorder the terms: -2 + -10m + 5mn2 + n2 = 2 + -2 + -1n2 + n2 Combine like terms: 2 + -2 = 0 -2 + -10m + 5mn2 + n2 = 0 + -1n2 + n2 -2 + -10m + 5mn2 + n2 = -1n2 + n2 Combine like terms: -1n2 + n2 = 0 -2 + -10m + 5mn2 + n2 = 0 The solution to this equation could not be determined.
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