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Simplifying 8m2 + 5m + 16 = 0 Reorder the terms: 16 + 5m + 8m2 = 0 Solving 16 + 5m + 8m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 2 + 0.625m + m2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 0.625m + -2 + m2 = 0 + -2 Reorder the terms: 2 + -2 + 0.625m + m2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 0.625m + m2 = 0 + -2 0.625m + m2 = 0 + -2 Combine like terms: 0 + -2 = -2 0.625m + m2 = -2 The m term is 0.625m. Take half its coefficient (0.3125). Square it (0.09765625) and add it to both sides. Add '0.09765625' to each side of the equation. 0.625m + 0.09765625 + m2 = -2 + 0.09765625 Reorder the terms: 0.09765625 + 0.625m + m2 = -2 + 0.09765625 Combine like terms: -2 + 0.09765625 = -1.90234375 0.09765625 + 0.625m + m2 = -1.90234375 Factor a perfect square on the left side: (m + 0.3125)(m + 0.3125) = -1.90234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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