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Simplifying 3m(3m) + 19m + 16 = 0 Remove parenthesis around (3m) 3m * 3m + 19m + 16 = 0 Reorder the terms for easier multiplication: 3 * 3m * m + 19m + 16 = 0 Multiply 3 * 3 9m * m + 19m + 16 = 0 Multiply m * m 9m2 + 19m + 16 = 0 Reorder the terms: 16 + 19m + 9m2 = 0 Solving 16 + 19m + 9m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.777777778 + 2.111111111m + m2 = 0 Move the constant term to the right: Add '-1.777777778' to each side of the equation. 1.777777778 + 2.111111111m + -1.777777778 + m2 = 0 + -1.777777778 Reorder the terms: 1.777777778 + -1.777777778 + 2.111111111m + m2 = 0 + -1.777777778 Combine like terms: 1.777777778 + -1.777777778 = 0.000000000 0.000000000 + 2.111111111m + m2 = 0 + -1.777777778 2.111111111m + m2 = 0 + -1.777777778 Combine like terms: 0 + -1.777777778 = -1.777777778 2.111111111m + m2 = -1.777777778 The m term is 2.111111111m. Take half its coefficient (1.055555556). Square it (1.114197532) and add it to both sides. Add '1.114197532' to each side of the equation. 2.111111111m + 1.114197532 + m2 = -1.777777778 + 1.114197532 Reorder the terms: 1.114197532 + 2.111111111m + m2 = -1.777777778 + 1.114197532 Combine like terms: -1.777777778 + 1.114197532 = -0.663580246 1.114197532 + 2.111111111m + m2 = -0.663580246 Factor a perfect square on the left side: (m + 1.055555556)(m + 1.055555556) = -0.663580246 Can't calculate square root of the right side. The solution to this equation could not be determined.
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