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Simplifying 5m2 + 3m + 10 = 0 Reorder the terms: 10 + 3m + 5m2 = 0 Solving 10 + 3m + 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'. 2 + 0.6m + m2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 0.6m + -2 + m2 = 0 + -2 Reorder the terms: 2 + -2 + 0.6m + m2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 0.6m + m2 = 0 + -2 0.6m + m2 = 0 + -2 Combine like terms: 0 + -2 = -2 0.6m + m2 = -2 The m term is 0.6m. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6m + 0.09 + m2 = -2 + 0.09 Reorder the terms: 0.09 + 0.6m + m2 = -2 + 0.09 Combine like terms: -2 + 0.09 = -1.91 0.09 + 0.6m + m2 = -1.91 Factor a perfect square on the left side: (m + 0.3)(m + 0.3) = -1.91 Can't calculate square root of the right side. The solution to this equation could not be determined.
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