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Simplifying (4m + 3) + (6m)(6m) + 8 = 0 Reorder the terms: (3 + 4m) + (6m)(6m) + 8 = 0 Remove parenthesis around (3 + 4m) 3 + 4m + (6m)(6m) + 8 = 0 Remove parenthesis around (6m) 3 + 4m + 6m(6m) + 8 = 0 Remove parenthesis around (6m) 3 + 4m + 6m * 6m + 8 = 0 Reorder the terms for easier multiplication: 3 + 4m + 6 * 6m * m + 8 = 0 Multiply 6 * 6 3 + 4m + 36m * m + 8 = 0 Multiply m * m 3 + 4m + 36m2 + 8 = 0 Reorder the terms: 3 + 8 + 4m + 36m2 = 0 Combine like terms: 3 + 8 = 11 11 + 4m + 36m2 = 0 Solving 11 + 4m + 36m2 = 0 Solving for variable 'm'. Begin completing the square. Divide all terms by 36 the coefficient of the squared term: Divide each side by '36'. 0.3055555556 + 0.1111111111m + m2 = 0 Move the constant term to the right: Add '-0.3055555556' to each side of the equation. 0.3055555556 + 0.1111111111m + -0.3055555556 + m2 = 0 + -0.3055555556 Reorder the terms: 0.3055555556 + -0.3055555556 + 0.1111111111m + m2 = 0 + -0.3055555556 Combine like terms: 0.3055555556 + -0.3055555556 = 0.0000000000 0.0000000000 + 0.1111111111m + m2 = 0 + -0.3055555556 0.1111111111m + m2 = 0 + -0.3055555556 Combine like terms: 0 + -0.3055555556 = -0.3055555556 0.1111111111m + m2 = -0.3055555556 The m term is 0.1111111111m. Take half its coefficient (0.05555555555). Square it (0.003086419752) and add it to both sides. Add '0.003086419752' to each side of the equation. 0.1111111111m + 0.003086419752 + m2 = -0.3055555556 + 0.003086419752 Reorder the terms: 0.003086419752 + 0.1111111111m + m2 = -0.3055555556 + 0.003086419752 Combine like terms: -0.3055555556 + 0.003086419752 = -0.302469135848 0.003086419752 + 0.1111111111m + m2 = -0.302469135848 Factor a perfect square on the left side: (m + 0.05555555555)(m + 0.05555555555) = -0.302469135848 Can't calculate square root of the right side. The solution to this equation could not be determined.
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