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Simplifying 4(m2 + 2) + 3m2 + 7m = 0 Reorder the terms: 4(2 + m2) + 3m2 + 7m = 0 (2 * 4 + m2 * 4) + 3m2 + 7m = 0 (8 + 4m2) + 3m2 + 7m = 0 Reorder the terms: 8 + 7m + 4m2 + 3m2 = 0 Combine like terms: 4m2 + 3m2 = 7m2 8 + 7m + 7m2 = 0 Solving 8 + 7m + 7m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.142857143 + m + m2 = 0 Move the constant term to the right: Add '-1.142857143' to each side of the equation. 1.142857143 + m + -1.142857143 + m2 = 0 + -1.142857143 Reorder the terms: 1.142857143 + -1.142857143 + m + m2 = 0 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + m + m2 = 0 + -1.142857143 m + m2 = 0 + -1.142857143 Combine like terms: 0 + -1.142857143 = -1.142857143 m + m2 = -1.142857143 The m term is m. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + m2 = -1.142857143 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + m2 = -1.142857143 + 0.25 Combine like terms: -1.142857143 + 0.25 = -0.892857143 1.25 + m2 = -0.892857143 Factor a perfect square on the left side: (m + 0.5)(m + 0.5) = -0.892857143 Can't calculate square root of the right side. The solution to this equation could not be determined.
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