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Simplifying -6m + 60 + -8(m + -1) = 5m + -1(7m + -8) * 4m + 4 Reorder the terms: -6m + 60 + -8(-1 + m) = 5m + -1(7m + -8) * 4m + 4 -6m + 60 + (-1 * -8 + m * -8) = 5m + -1(7m + -8) * 4m + 4 -6m + 60 + (8 + -8m) = 5m + -1(7m + -8) * 4m + 4 Reorder the terms: 60 + 8 + -6m + -8m = 5m + -1(7m + -8) * 4m + 4 Combine like terms: 60 + 8 = 68 68 + -6m + -8m = 5m + -1(7m + -8) * 4m + 4 Combine like terms: -6m + -8m = -14m 68 + -14m = 5m + -1(7m + -8) * 4m + 4 Reorder the terms: 68 + -14m = 5m + -1(-8 + 7m) * 4m + 4 Reorder the terms for easier multiplication: 68 + -14m = 5m + -1 * 4m(-8 + 7m) + 4 Multiply -1 * 4 68 + -14m = 5m + -4m(-8 + 7m) + 4 68 + -14m = 5m + (-8 * -4m + 7m * -4m) + 4 68 + -14m = 5m + (32m + -28m2) + 4 Reorder the terms: 68 + -14m = 4 + 5m + 32m + -28m2 Combine like terms: 5m + 32m = 37m 68 + -14m = 4 + 37m + -28m2 Solving 68 + -14m = 4 + 37m + -28m2 Solving for variable 'm'. Reorder the terms: 68 + -4 + -14m + -37m + 28m2 = 4 + 37m + -28m2 + -4 + -37m + 28m2 Combine like terms: 68 + -4 = 64 64 + -14m + -37m + 28m2 = 4 + 37m + -28m2 + -4 + -37m + 28m2 Combine like terms: -14m + -37m = -51m 64 + -51m + 28m2 = 4 + 37m + -28m2 + -4 + -37m + 28m2 Reorder the terms: 64 + -51m + 28m2 = 4 + -4 + 37m + -37m + -28m2 + 28m2 Combine like terms: 4 + -4 = 0 64 + -51m + 28m2 = 0 + 37m + -37m + -28m2 + 28m2 64 + -51m + 28m2 = 37m + -37m + -28m2 + 28m2 Combine like terms: 37m + -37m = 0 64 + -51m + 28m2 = 0 + -28m2 + 28m2 64 + -51m + 28m2 = -28m2 + 28m2 Combine like terms: -28m2 + 28m2 = 0 64 + -51m + 28m2 = 0 Begin completing the square. Divide all terms by 28 the coefficient of the squared term: Divide each side by '28'. 2.285714286 + -1.821428571m + m2 = 0 Move the constant term to the right: Add '-2.285714286' to each side of the equation. 2.285714286 + -1.821428571m + -2.285714286 + m2 = 0 + -2.285714286 Reorder the terms: 2.285714286 + -2.285714286 + -1.821428571m + m2 = 0 + -2.285714286 Combine like terms: 2.285714286 + -2.285714286 = 0.000000000 0.000000000 + -1.821428571m + m2 = 0 + -2.285714286 -1.821428571m + m2 = 0 + -2.285714286 Combine like terms: 0 + -2.285714286 = -2.285714286 -1.821428571m + m2 = -2.285714286 The m term is -1.821428571m. Take half its coefficient (-0.9107142855). Square it (0.8294005098) and add it to both sides. Add '0.8294005098' to each side of the equation. -1.821428571m + 0.8294005098 + m2 = -2.285714286 + 0.8294005098 Reorder the terms: 0.8294005098 + -1.821428571m + m2 = -2.285714286 + 0.8294005098 Combine like terms: -2.285714286 + 0.8294005098 = -1.4563137762 0.8294005098 + -1.821428571m + m2 = -1.4563137762 Factor a perfect square on the left side: (m + -0.9107142855)(m + -0.9107142855) = -1.4563137762 Can't calculate square root of the right side. The solution to this equation could not be determined.
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