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Simplifying 3m2 + 13m + 21 = 0 Reorder the terms: 21 + 13m + 3m2 = 0 Solving 21 + 13m + 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'. 7 + 4.333333333m + m2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + 4.333333333m + -7 + m2 = 0 + -7 Reorder the terms: 7 + -7 + 4.333333333m + m2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4.333333333m + m2 = 0 + -7 4.333333333m + m2 = 0 + -7 Combine like terms: 0 + -7 = -7 4.333333333m + m2 = -7 The m term is 4.333333333m. Take half its coefficient (2.166666667). Square it (4.694444446) and add it to both sides. Add '4.694444446' to each side of the equation. 4.333333333m + 4.694444446 + m2 = -7 + 4.694444446 Reorder the terms: 4.694444446 + 4.333333333m + m2 = -7 + 4.694444446 Combine like terms: -7 + 4.694444446 = -2.305555554 4.694444446 + 4.333333333m + m2 = -2.305555554 Factor a perfect square on the left side: (m + 2.166666667)(m + 2.166666667) = -2.305555554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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