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Simplifying 4x2 + -3x + 4 = 0 Reorder the terms: 4 + -3x + 4x2 = 0 Solving 4 + -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'. 1 + -0.75x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.75x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.75x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.75x + x2 = 0 + -1 -0.75x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.75x + x2 = -1 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 = -1 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = -1 + 0.140625 Combine like terms: -1 + 0.140625 = -0.859375 0.140625 + -0.75x + x2 = -0.859375 Factor a perfect square on the left side: (x + -0.375)(x + -0.375) = -0.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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