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Simplifying 9m12 + 23m6 + 144 = 0 Reorder the terms: 144 + 23m6 + 9m12 = 0 Solving 144 + 23m6 + 9m12 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 16 + 2.555555556m6 + m12 = 0 Move the constant term to the right: Add '-16' to each side of the equation. 16 + 2.555555556m6 + -16 + m12 = 0 + -16 Reorder the terms: 16 + -16 + 2.555555556m6 + m12 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 2.555555556m6 + m12 = 0 + -16 2.555555556m6 + m12 = 0 + -16 Combine like terms: 0 + -16 = -16 2.555555556m6 + m12 = -16 The m term is 2.555555556m6. Take half its coefficient (1.277777778). Square it (1.632716050) and add it to both sides. Add '1.632716050' to each side of the equation. 2.555555556m6 + 1.632716050 + m12 = -16 + 1.632716050 Reorder the terms: 1.632716050 + 2.555555556m6 + m12 = -16 + 1.632716050 Combine like terms: -16 + 1.632716050 = -14.36728395 1.632716050 + 2.555555556m6 + m12 = -14.36728395 Factor a perfect square on the left side: (m6 + 1.277777778)(m6 + 1.277777778) = -14.36728395 Can't calculate square root of the right side. The solution to this equation could not be determined.
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