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Simplifying 3m2 + 7m + 15 = 0 Reorder the terms: 15 + 7m + 3m2 = 0 Solving 15 + 7m + 3m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 5 + 2.333333333m + m2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + 2.333333333m + -5 + m2 = 0 + -5 Reorder the terms: 5 + -5 + 2.333333333m + m2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2.333333333m + m2 = 0 + -5 2.333333333m + m2 = 0 + -5 Combine like terms: 0 + -5 = -5 2.333333333m + m2 = -5 The m term is 2.333333333m. Take half its coefficient (1.166666667). Square it (1.361111112) and add it to both sides. Add '1.361111112' to each side of the equation. 2.333333333m + 1.361111112 + m2 = -5 + 1.361111112 Reorder the terms: 1.361111112 + 2.333333333m + m2 = -5 + 1.361111112 Combine like terms: -5 + 1.361111112 = -3.638888888 1.361111112 + 2.333333333m + m2 = -3.638888888 Factor a perfect square on the left side: (m + 1.166666667)(m + 1.166666667) = -3.638888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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