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Simplifying 5m2 + 10m + 9 = 0 Reorder the terms: 9 + 10m + 5m2 = 0 Solving 9 + 10m + 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'. 1.8 + 2m + m2 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + 2m + -1.8 + m2 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + 2m + m2 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 2m + m2 = 0 + -1.8 2m + m2 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 2m + m2 = -1.8 The m term is 2m. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2m + 1 + m2 = -1.8 + 1 Reorder the terms: 1 + 2m + m2 = -1.8 + 1 Combine like terms: -1.8 + 1 = -0.8 1 + 2m + m2 = -0.8 Factor a perfect square on the left side: (m + 1)(m + 1) = -0.8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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