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Simplifying 78 = -2m(m + 3) + m Reorder the terms: 78 = -2m(3 + m) + m 78 = (3 * -2m + m * -2m) + m 78 = (-6m + -2m2) + m Reorder the terms: 78 = -6m + m + -2m2 Combine like terms: -6m + m = -5m 78 = -5m + -2m2 Solving 78 = -5m + -2m2 Solving for variable 'm'. Reorder the terms: 78 + 5m + 2m2 = -5m + 5m + -2m2 + 2m2 Combine like terms: -5m + 5m = 0 78 + 5m + 2m2 = 0 + -2m2 + 2m2 78 + 5m + 2m2 = -2m2 + 2m2 Combine like terms: -2m2 + 2m2 = 0 78 + 5m + 2m2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 39 + 2.5m + m2 = 0 Move the constant term to the right: Add '-39' to each side of the equation. 39 + 2.5m + -39 + m2 = 0 + -39 Reorder the terms: 39 + -39 + 2.5m + m2 = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 2.5m + m2 = 0 + -39 2.5m + m2 = 0 + -39 Combine like terms: 0 + -39 = -39 2.5m + m2 = -39 The m term is 2.5m. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5m + 1.5625 + m2 = -39 + 1.5625 Reorder the terms: 1.5625 + 2.5m + m2 = -39 + 1.5625 Combine like terms: -39 + 1.5625 = -37.4375 1.5625 + 2.5m + m2 = -37.4375 Factor a perfect square on the left side: (m + 1.25)(m + 1.25) = -37.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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