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Simplifying 5m2 + 14m + 15 = 0 Reorder the terms: 15 + 14m + 5m2 = 0 Solving 15 + 14m + 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 + 2.8m + m2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 2.8m + -3 + m2 = 0 + -3 Reorder the terms: 3 + -3 + 2.8m + m2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2.8m + m2 = 0 + -3 2.8m + m2 = 0 + -3 Combine like terms: 0 + -3 = -3 2.8m + m2 = -3 The m term is 2.8m. Take half its coefficient (1.4). Square it (1.96) and add it to both sides. Add '1.96' to each side of the equation. 2.8m + 1.96 + m2 = -3 + 1.96 Reorder the terms: 1.96 + 2.8m + m2 = -3 + 1.96 Combine like terms: -3 + 1.96 = -1.04 1.96 + 2.8m + m2 = -1.04 Factor a perfect square on the left side: (m + 1.4)(m + 1.4) = -1.04 Can't calculate square root of the right side. The solution to this equation could not be determined.
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