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Simplifying 0 = 7m2 + -6m + 8 Reorder the terms: 0 = 8 + -6m + 7m2 Solving 0 = 8 + -6m + 7m2 Solving for variable 'm'. Combine like terms: 0 + -8 = -8 -8 + 6m + -7m2 = 8 + -6m + 7m2 + -8 + 6m + -7m2 Reorder the terms: -8 + 6m + -7m2 = 8 + -8 + -6m + 6m + 7m2 + -7m2 Combine like terms: 8 + -8 = 0 -8 + 6m + -7m2 = 0 + -6m + 6m + 7m2 + -7m2 -8 + 6m + -7m2 = -6m + 6m + 7m2 + -7m2 Combine like terms: -6m + 6m = 0 -8 + 6m + -7m2 = 0 + 7m2 + -7m2 -8 + 6m + -7m2 = 7m2 + -7m2 Combine like terms: 7m2 + -7m2 = 0 -8 + 6m + -7m2 = 0 Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 1.142857143 + -0.8571428571m + m2 = 0 Move the constant term to the right: Add '-1.142857143' to each side of the equation. 1.142857143 + -0.8571428571m + -1.142857143 + m2 = 0 + -1.142857143 Reorder the terms: 1.142857143 + -1.142857143 + -0.8571428571m + m2 = 0 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + -0.8571428571m + m2 = 0 + -1.142857143 -0.8571428571m + m2 = 0 + -1.142857143 Combine like terms: 0 + -1.142857143 = -1.142857143 -0.8571428571m + m2 = -1.142857143 The m term is -0.8571428571m. Take half its coefficient (-0.4285714286). Square it (0.1836734694) and add it to both sides. Add '0.1836734694' to each side of the equation. -0.8571428571m + 0.1836734694 + m2 = -1.142857143 + 0.1836734694 Reorder the terms: 0.1836734694 + -0.8571428571m + m2 = -1.142857143 + 0.1836734694 Combine like terms: -1.142857143 + 0.1836734694 = -0.9591836736 0.1836734694 + -0.8571428571m + m2 = -0.9591836736 Factor a perfect square on the left side: (m + -0.4285714286)(m + -0.4285714286) = -0.9591836736 Can't calculate square root of the right side. The solution to this equation could not be determined.
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