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Simplifying 5m2 + 16m + 15 = 0 Reorder the terms: 15 + 16m + 5m2 = 0 Solving 15 + 16m + 5m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 3 + 3.2m + m2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 3.2m + -3 + m2 = 0 + -3 Reorder the terms: 3 + -3 + 3.2m + m2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3.2m + m2 = 0 + -3 3.2m + m2 = 0 + -3 Combine like terms: 0 + -3 = -3 3.2m + m2 = -3 The m term is 3.2m. Take half its coefficient (1.6). Square it (2.56) and add it to both sides. Add '2.56' to each side of the equation. 3.2m + 2.56 + m2 = -3 + 2.56 Reorder the terms: 2.56 + 3.2m + m2 = -3 + 2.56 Combine like terms: -3 + 2.56 = -0.44 2.56 + 3.2m + m2 = -0.44 Factor a perfect square on the left side: (m + 1.6)(m + 1.6) = -0.44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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