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Simplifying 7m2 + 10 = -8m Reorder the terms: 10 + 7m2 = -8m Solving 10 + 7m2 = -8m Solving for variable 'm'. Reorder the terms: 10 + 8m + 7m2 = -8m + 8m Combine like terms: -8m + 8m = 0 10 + 8m + 7m2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.428571429 + 1.142857143m + m2 = 0 Move the constant term to the right: Add '-1.428571429' to each side of the equation. 1.428571429 + 1.142857143m + -1.428571429 + m2 = 0 + -1.428571429 Reorder the terms: 1.428571429 + -1.428571429 + 1.142857143m + m2 = 0 + -1.428571429 Combine like terms: 1.428571429 + -1.428571429 = 0.000000000 0.000000000 + 1.142857143m + m2 = 0 + -1.428571429 1.142857143m + m2 = 0 + -1.428571429 Combine like terms: 0 + -1.428571429 = -1.428571429 1.142857143m + m2 = -1.428571429 The m term is 1.142857143m. Take half its coefficient (0.5714285715). Square it (0.3265306123) and add it to both sides. Add '0.3265306123' to each side of the equation. 1.142857143m + 0.3265306123 + m2 = -1.428571429 + 0.3265306123 Reorder the terms: 0.3265306123 + 1.142857143m + m2 = -1.428571429 + 0.3265306123 Combine like terms: -1.428571429 + 0.3265306123 = -1.1020408167 0.3265306123 + 1.142857143m + m2 = -1.1020408167 Factor a perfect square on the left side: (m + 0.5714285715)(m + 0.5714285715) = -1.1020408167 Can't calculate square root of the right side. The solution to this equation could not be determined.
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