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Simplifying 12m2 + -55m + 89 = 0 Reorder the terms: 89 + -55m + 12m2 = 0 Solving 89 + -55m + 12m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 7.416666667 + -4.583333333m + m2 = 0 Move the constant term to the right: Add '-7.416666667' to each side of the equation. 7.416666667 + -4.583333333m + -7.416666667 + m2 = 0 + -7.416666667 Reorder the terms: 7.416666667 + -7.416666667 + -4.583333333m + m2 = 0 + -7.416666667 Combine like terms: 7.416666667 + -7.416666667 = 0.000000000 0.000000000 + -4.583333333m + m2 = 0 + -7.416666667 -4.583333333m + m2 = 0 + -7.416666667 Combine like terms: 0 + -7.416666667 = -7.416666667 -4.583333333m + m2 = -7.416666667 The m term is -4.583333333m. Take half its coefficient (-2.291666667). Square it (5.251736113) and add it to both sides. Add '5.251736113' to each side of the equation. -4.583333333m + 5.251736113 + m2 = -7.416666667 + 5.251736113 Reorder the terms: 5.251736113 + -4.583333333m + m2 = -7.416666667 + 5.251736113 Combine like terms: -7.416666667 + 5.251736113 = -2.164930554 5.251736113 + -4.583333333m + m2 = -2.164930554 Factor a perfect square on the left side: (m + -2.291666667)(m + -2.291666667) = -2.164930554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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