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Simplifying 3(m + 1) * 3(m + 1) + 10(m + 1) + 8 = 0 Reorder the terms: 3(1 + m) * 3(m + 1) + 10(m + 1) + 8 = 0 Reorder the terms: 3(1 + m) * 3(1 + m) + 10(m + 1) + 8 = 0 Reorder the terms for easier multiplication: 3 * 3(1 + m)(1 + m) + 10(m + 1) + 8 = 0 Multiply 3 * 3 9(1 + m)(1 + m) + 10(m + 1) + 8 = 0 Multiply (1 + m) * (1 + m) 9(1(1 + m) + m(1 + m)) + 10(m + 1) + 8 = 0 9((1 * 1 + m * 1) + m(1 + m)) + 10(m + 1) + 8 = 0 9((1 + 1m) + m(1 + m)) + 10(m + 1) + 8 = 0 9(1 + 1m + (1 * m + m * m)) + 10(m + 1) + 8 = 0 9(1 + 1m + (1m + m2)) + 10(m + 1) + 8 = 0 Combine like terms: 1m + 1m = 2m 9(1 + 2m + m2) + 10(m + 1) + 8 = 0 (1 * 9 + 2m * 9 + m2 * 9) + 10(m + 1) + 8 = 0 (9 + 18m + 9m2) + 10(m + 1) + 8 = 0 Reorder the terms: 9 + 18m + 9m2 + 10(1 + m) + 8 = 0 9 + 18m + 9m2 + (1 * 10 + m * 10) + 8 = 0 9 + 18m + 9m2 + (10 + 10m) + 8 = 0 Reorder the terms: 9 + 10 + 8 + 18m + 10m + 9m2 = 0 Combine like terms: 9 + 10 = 19 19 + 8 + 18m + 10m + 9m2 = 0 Combine like terms: 19 + 8 = 27 27 + 18m + 10m + 9m2 = 0 Combine like terms: 18m + 10m = 28m 27 + 28m + 9m2 = 0 Solving 27 + 28m + 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'. 3 + 3.111111111m + m2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 3.111111111m + -3 + m2 = 0 + -3 Reorder the terms: 3 + -3 + 3.111111111m + m2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3.111111111m + m2 = 0 + -3 3.111111111m + m2 = 0 + -3 Combine like terms: 0 + -3 = -3 3.111111111m + m2 = -3 The m term is 3.111111111m. Take half its coefficient (1.555555556). Square it (2.419753088) and add it to both sides. Add '2.419753088' to each side of the equation. 3.111111111m + 2.419753088 + m2 = -3 + 2.419753088 Reorder the terms: 2.419753088 + 3.111111111m + m2 = -3 + 2.419753088 Combine like terms: -3 + 2.419753088 = -0.580246912 2.419753088 + 3.111111111m + m2 = -0.580246912 Factor a perfect square on the left side: (m + 1.555555556)(m + 1.555555556) = -0.580246912 Can't calculate square root of the right side. The solution to this equation could not be determined.
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