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Simplifying 6m + m + -4(-2m + 1 + -1m) * m = -8 Reorder the terms: 6m + m + -4(1 + -2m + -1m) * m = -8 Combine like terms: -2m + -1m = -3m 6m + m + -4(1 + -3m) * m = -8 Reorder the terms for easier multiplication: 6m + m + -4m(1 + -3m) = -8 6m + m + (1 * -4m + -3m * -4m) = -8 6m + m + (-4m + 12m2) = -8 Combine like terms: 6m + m = 7m 7m + -4m + 12m2 = -8 Combine like terms: 7m + -4m = 3m 3m + 12m2 = -8 Solving 3m + 12m2 = -8 Solving for variable 'm'. Reorder the terms: 8 + 3m + 12m2 = -8 + 8 Combine like terms: -8 + 8 = 0 8 + 3m + 12m2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.6666666667 + 0.25m + m2 = 0 Move the constant term to the right: Add '-0.6666666667' to each side of the equation. 0.6666666667 + 0.25m + -0.6666666667 + m2 = 0 + -0.6666666667 Reorder the terms: 0.6666666667 + -0.6666666667 + 0.25m + m2 = 0 + -0.6666666667 Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000 0.0000000000 + 0.25m + m2 = 0 + -0.6666666667 0.25m + m2 = 0 + -0.6666666667 Combine like terms: 0 + -0.6666666667 = -0.6666666667 0.25m + m2 = -0.6666666667 The m term is 0.25m. Take half its coefficient (0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. 0.25m + 0.015625 + m2 = -0.6666666667 + 0.015625 Reorder the terms: 0.015625 + 0.25m + m2 = -0.6666666667 + 0.015625 Combine like terms: -0.6666666667 + 0.015625 = -0.6510416667 0.015625 + 0.25m + m2 = -0.6510416667 Factor a perfect square on the left side: (m + 0.125)(m + 0.125) = -0.6510416667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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