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Simplifying 7m2 + -12m = -8 Reorder the terms: -12m + 7m2 = -8 Solving -12m + 7m2 = -8 Solving for variable 'm'. Reorder the terms: 8 + -12m + 7m2 = -8 + 8 Combine like terms: -8 + 8 = 0 8 + -12m + 7m2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.142857143 + -1.714285714m + m2 = 0 Move the constant term to the right: Add '-1.142857143' to each side of the equation. 1.142857143 + -1.714285714m + -1.142857143 + m2 = 0 + -1.142857143 Reorder the terms: 1.142857143 + -1.142857143 + -1.714285714m + m2 = 0 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + -1.714285714m + m2 = 0 + -1.142857143 -1.714285714m + m2 = 0 + -1.142857143 Combine like terms: 0 + -1.142857143 = -1.142857143 -1.714285714m + m2 = -1.142857143 The m term is -1.714285714m. Take half its coefficient (-0.857142857). Square it (0.7346938773) and add it to both sides. Add '0.7346938773' to each side of the equation. -1.714285714m + 0.7346938773 + m2 = -1.142857143 + 0.7346938773 Reorder the terms: 0.7346938773 + -1.714285714m + m2 = -1.142857143 + 0.7346938773 Combine like terms: -1.142857143 + 0.7346938773 = -0.4081632657 0.7346938773 + -1.714285714m + m2 = -0.4081632657 Factor a perfect square on the left side: (m + -0.857142857)(m + -0.857142857) = -0.4081632657 Can't calculate square root of the right side. The solution to this equation could not be determined.
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