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Simplifying 4x2 + 3x = -76 Reorder the terms: 3x + 4x2 = -76 Solving 3x + 4x2 = -76 Solving for variable 'x'. Reorder the terms: 76 + 3x + 4x2 = -76 + 76 Combine like terms: -76 + 76 = 0 76 + 3x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 19 + 0.75x + x2 = 0 Move the constant term to the right: Add '-19' to each side of the equation. 19 + 0.75x + -19 + x2 = 0 + -19 Reorder the terms: 19 + -19 + 0.75x + x2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 0.75x + x2 = 0 + -19 0.75x + x2 = 0 + -19 Combine like terms: 0 + -19 = -19 0.75x + x2 = -19 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 = -19 + 0.140625 Reorder the terms: 0.140625 + 0.75x + x2 = -19 + 0.140625 Combine like terms: -19 + 0.140625 = -18.859375 0.140625 + 0.75x + x2 = -18.859375 Factor a perfect square on the left side: (x + 0.375)(x + 0.375) = -18.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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