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Simplifying 3m2 + 8m + 21 = 0 Reorder the terms: 21 + 8m + 3m2 = 0 Solving 21 + 8m + 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 + 2.666666667m + m2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + 2.666666667m + -7 + m2 = 0 + -7 Reorder the terms: 7 + -7 + 2.666666667m + m2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2.666666667m + m2 = 0 + -7 2.666666667m + m2 = 0 + -7 Combine like terms: 0 + -7 = -7 2.666666667m + m2 = -7 The m term is 2.666666667m. Take half its coefficient (1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. 2.666666667m + 1.777777780 + m2 = -7 + 1.777777780 Reorder the terms: 1.777777780 + 2.666666667m + m2 = -7 + 1.777777780 Combine like terms: -7 + 1.777777780 = -5.22222222 1.777777780 + 2.666666667m + m2 = -5.22222222 Factor a perfect square on the left side: (m + 1.333333334)(m + 1.333333334) = -5.22222222 Can't calculate square root of the right side. The solution to this equation could not be determined.
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