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Simplifying 6m2 + 13m + 18 = 0 Reorder the terms: 18 + 13m + 6m2 = 0 Solving 18 + 13m + 6m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 3 + 2.166666667m + m2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 2.166666667m + -3 + m2 = 0 + -3 Reorder the terms: 3 + -3 + 2.166666667m + m2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2.166666667m + m2 = 0 + -3 2.166666667m + m2 = 0 + -3 Combine like terms: 0 + -3 = -3 2.166666667m + m2 = -3 The m term is 2.166666667m. Take half its coefficient (1.083333334). Square it (1.173611113) and add it to both sides. Add '1.173611113' to each side of the equation. 2.166666667m + 1.173611113 + m2 = -3 + 1.173611113 Reorder the terms: 1.173611113 + 2.166666667m + m2 = -3 + 1.173611113 Combine like terms: -3 + 1.173611113 = -1.826388887 1.173611113 + 2.166666667m + m2 = -1.826388887 Factor a perfect square on the left side: (m + 1.083333334)(m + 1.083333334) = -1.826388887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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