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Simplifying 15m2 + 14m + 15 = 0 Reorder the terms: 15 + 14m + 15m2 = 0 Solving 15 + 14m + 15m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 1 + 0.9333333333m + m2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.9333333333m + -1 + m2 = 0 + -1 Reorder the terms: 1 + -1 + 0.9333333333m + m2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.9333333333m + m2 = 0 + -1 0.9333333333m + m2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.9333333333m + m2 = -1 The m term is 0.9333333333m. Take half its coefficient (0.4666666667). Square it (0.2177777778) and add it to both sides. Add '0.2177777778' to each side of the equation. 0.9333333333m + 0.2177777778 + m2 = -1 + 0.2177777778 Reorder the terms: 0.2177777778 + 0.9333333333m + m2 = -1 + 0.2177777778 Combine like terms: -1 + 0.2177777778 = -0.7822222222 0.2177777778 + 0.9333333333m + m2 = -0.7822222222 Factor a perfect square on the left side: (m + 0.4666666667)(m + 0.4666666667) = -0.7822222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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