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Simplifying (2x * 2x) + -3x + 6 = 0 Reorder the terms for easier multiplication: (2 * 2x * x) + -3x + 6 = 0 Multiply 2 * 2 (4x * x) + -3x + 6 = 0 Multiply x * x (4x2) + -3x + 6 = 0 Reorder the terms: 6 + -3x + (4x2) = 0 Solving 6 + -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'. 1.5 + -0.75x + x2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -0.75x + -1.5 + x2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -0.75x + x2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.75x + x2 = 0 + -1.5 -0.75x + x2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -0.75x + x2 = -1.5 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 = -1.5 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = -1.5 + 0.140625 Combine like terms: -1.5 + 0.140625 = -1.359375 0.140625 + -0.75x + x2 = -1.359375 Factor a perfect square on the left side: ((x) + -0.375)((x) + -0.375) = -1.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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