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Simplifying 28x2 + 3x2 + 3x + 1 = 0 Reorder the terms: 1 + 3x + 28x2 + 3x2 = 0 Combine like terms: 28x2 + 3x2 = 31x2 1 + 3x + 31x2 = 0 Solving 1 + 3x + 31x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 31 the coefficient of the squared term: Divide each side by '31'. 0.03225806452 + 0.09677419355x + x2 = 0 Move the constant term to the right: Add '-0.03225806452' to each side of the equation. 0.03225806452 + 0.09677419355x + -0.03225806452 + x2 = 0 + -0.03225806452 Reorder the terms: 0.03225806452 + -0.03225806452 + 0.09677419355x + x2 = 0 + -0.03225806452 Combine like terms: 0.03225806452 + -0.03225806452 = 0.00000000000 0.00000000000 + 0.09677419355x + x2 = 0 + -0.03225806452 0.09677419355x + x2 = 0 + -0.03225806452 Combine like terms: 0 + -0.03225806452 = -0.03225806452 0.09677419355x + x2 = -0.03225806452 The x term is 0.09677419355x. Take half its coefficient (0.04838709678). Square it (0.002341311135) and add it to both sides. Add '0.002341311135' to each side of the equation. 0.09677419355x + 0.002341311135 + x2 = -0.03225806452 + 0.002341311135 Reorder the terms: 0.002341311135 + 0.09677419355x + x2 = -0.03225806452 + 0.002341311135 Combine like terms: -0.03225806452 + 0.002341311135 = -0.029916753385 0.002341311135 + 0.09677419355x + x2 = -0.029916753385 Factor a perfect square on the left side: (x + 0.04838709678)(x + 0.04838709678) = -0.029916753385 Can't calculate square root of the right side. The solution to this equation could not be determined.
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