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Simplifying (6m2 + 2m + -7) + -1(6m2 + -5m + 1) + -1(m2 + m + 8) = 0 Reorder the terms: (-7 + 2m + 6m2) + -1(6m2 + -5m + 1) + -1(m2 + m + 8) = 0 Remove parenthesis around (-7 + 2m + 6m2) -7 + 2m + 6m2 + -1(6m2 + -5m + 1) + -1(m2 + m + 8) = 0 Reorder the terms: -7 + 2m + 6m2 + -1(1 + -5m + 6m2) + -1(m2 + m + 8) = 0 -7 + 2m + 6m2 + (1 * -1 + -5m * -1 + 6m2 * -1) + -1(m2 + m + 8) = 0 -7 + 2m + 6m2 + (-1 + 5m + -6m2) + -1(m2 + m + 8) = 0 Reorder the terms: -7 + 2m + 6m2 + -1 + 5m + -6m2 + -1(8 + m + m2) = 0 -7 + 2m + 6m2 + -1 + 5m + -6m2 + (8 * -1 + m * -1 + m2 * -1) = 0 -7 + 2m + 6m2 + -1 + 5m + -6m2 + (-8 + -1m + -1m2) = 0 Reorder the terms: -7 + -1 + -8 + 2m + 5m + -1m + 6m2 + -6m2 + -1m2 = 0 Combine like terms: -7 + -1 = -8 -8 + -8 + 2m + 5m + -1m + 6m2 + -6m2 + -1m2 = 0 Combine like terms: -8 + -8 = -16 -16 + 2m + 5m + -1m + 6m2 + -6m2 + -1m2 = 0 Combine like terms: 2m + 5m = 7m -16 + 7m + -1m + 6m2 + -6m2 + -1m2 = 0 Combine like terms: 7m + -1m = 6m -16 + 6m + 6m2 + -6m2 + -1m2 = 0 Combine like terms: 6m2 + -6m2 = 0 -16 + 6m + 0 + -1m2 = 0 -16 + 6m + -1m2 = 0 Solving -16 + 6m + -1m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 16 + -6m + m2 = 0 Move the constant term to the right: Add '-16' to each side of the equation. 16 + -6m + -16 + m2 = 0 + -16 Reorder the terms: 16 + -16 + -6m + m2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -6m + m2 = 0 + -16 -6m + m2 = 0 + -16 Combine like terms: 0 + -16 = -16 -6m + m2 = -16 The m term is -6m. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6m + 9 + m2 = -16 + 9 Reorder the terms: 9 + -6m + m2 = -16 + 9 Combine like terms: -16 + 9 = -7 9 + -6m + m2 = -7 Factor a perfect square on the left side: (m + -3)(m + -3) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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