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Simplifying (-1m2 + 3) + -1(m2 + -13) + (6m2 + m + -10) = 0 Reorder the terms: (3 + -1m2) + -1(m2 + -13) + (6m2 + m + -10) = 0 Remove parenthesis around (3 + -1m2) 3 + -1m2 + -1(m2 + -13) + (6m2 + m + -10) = 0 Reorder the terms: 3 + -1m2 + -1(-13 + m2) + (6m2 + m + -10) = 0 3 + -1m2 + (-13 * -1 + m2 * -1) + (6m2 + m + -10) = 0 3 + -1m2 + (13 + -1m2) + (6m2 + m + -10) = 0 Reorder the terms: 3 + -1m2 + 13 + -1m2 + (-10 + m + 6m2) = 0 Remove parenthesis around (-10 + m + 6m2) 3 + -1m2 + 13 + -1m2 + -10 + m + 6m2 = 0 Reorder the terms: 3 + 13 + -10 + m + -1m2 + -1m2 + 6m2 = 0 Combine like terms: 3 + 13 = 16 16 + -10 + m + -1m2 + -1m2 + 6m2 = 0 Combine like terms: 16 + -10 = 6 6 + m + -1m2 + -1m2 + 6m2 = 0 Combine like terms: -1m2 + -1m2 = -2m2 6 + m + -2m2 + 6m2 = 0 Combine like terms: -2m2 + 6m2 = 4m2 6 + m + 4m2 = 0 Solving 6 + m + 4m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.5 + 0.25m + m2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + 0.25m + -1.5 + m2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + 0.25m + m2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.25m + m2 = 0 + -1.5 0.25m + m2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 0.25m + m2 = -1.5 The m term is m. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.25m + 0.25 + m2 = -1.5 + 0.25 Reorder the terms: 0.25 + 0.25m + m2 = -1.5 + 0.25 Combine like terms: -1.5 + 0.25 = -1.25 0.25 + 0.25m + m2 = -1.25 Factor a perfect square on the left side: (m + 0.5)(m + 0.5) = -1.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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