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Simplifying 3x2 + 48 + 3x + 12 + -2 = 0 Reorder the terms: 48 + 12 + -2 + 3x + 3x2 = 0 Combine like terms: 48 + 12 = 60 60 + -2 + 3x + 3x2 = 0 Combine like terms: 60 + -2 = 58 58 + 3x + 3x2 = 0 Solving 58 + 3x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 19.33333333 + x + x2 = 0 Move the constant term to the right: Add '-19.33333333' to each side of the equation. 19.33333333 + x + -19.33333333 + x2 = 0 + -19.33333333 Reorder the terms: 19.33333333 + -19.33333333 + x + x2 = 0 + -19.33333333 Combine like terms: 19.33333333 + -19.33333333 = 0.00000000 0.00000000 + x + x2 = 0 + -19.33333333 x + x2 = 0 + -19.33333333 Combine like terms: 0 + -19.33333333 = -19.33333333 x + x2 = -19.33333333 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = -19.33333333 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = -19.33333333 + 0.25 Combine like terms: -19.33333333 + 0.25 = -19.08333333 1.25 + x2 = -19.08333333 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -19.08333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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