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Simplifying 4x2 + 3x + 138 = 0 Reorder the terms: 138 + 3x + 4x2 = 0 Solving 138 + 3x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 34.5 + 0.75x + x2 = 0 Move the constant term to the right: Add '-34.5' to each side of the equation. 34.5 + 0.75x + -34.5 + x2 = 0 + -34.5 Reorder the terms: 34.5 + -34.5 + 0.75x + x2 = 0 + -34.5 Combine like terms: 34.5 + -34.5 = 0.0 0.0 + 0.75x + x2 = 0 + -34.5 0.75x + x2 = 0 + -34.5 Combine like terms: 0 + -34.5 = -34.5 0.75x + x2 = -34.5 The x term is 0.75x. Take half its coefficient (0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. 0.75x + 0.140625 + x2 = -34.5 + 0.140625 Reorder the terms: 0.140625 + 0.75x + x2 = -34.5 + 0.140625 Combine like terms: -34.5 + 0.140625 = -34.359375 0.140625 + 0.75x + x2 = -34.359375 Factor a perfect square on the left side: (x + 0.375)(x + 0.375) = -34.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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