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Simplifying 46x2 + -21x + 5 = 0 Reorder the terms: 5 + -21x + 46x2 = 0 Solving 5 + -21x + 46x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 46 the coefficient of the squared term: Divide each side by '46'. 0.1086956522 + -0.4565217391x + x2 = 0 Move the constant term to the right: Add '-0.1086956522' to each side of the equation. 0.1086956522 + -0.4565217391x + -0.1086956522 + x2 = 0 + -0.1086956522 Reorder the terms: 0.1086956522 + -0.1086956522 + -0.4565217391x + x2 = 0 + -0.1086956522 Combine like terms: 0.1086956522 + -0.1086956522 = 0.0000000000 0.0000000000 + -0.4565217391x + x2 = 0 + -0.1086956522 -0.4565217391x + x2 = 0 + -0.1086956522 Combine like terms: 0 + -0.1086956522 = -0.1086956522 -0.4565217391x + x2 = -0.1086956522 The x term is -0.4565217391x. Take half its coefficient (-0.2282608696). Square it (0.05210302459) and add it to both sides. Add '0.05210302459' to each side of the equation. -0.4565217391x + 0.05210302459 + x2 = -0.1086956522 + 0.05210302459 Reorder the terms: 0.05210302459 + -0.4565217391x + x2 = -0.1086956522 + 0.05210302459 Combine like terms: -0.1086956522 + 0.05210302459 = -0.05659262761 0.05210302459 + -0.4565217391x + x2 = -0.05659262761 Factor a perfect square on the left side: (x + -0.2282608696)(x + -0.2282608696) = -0.05659262761 Can't calculate square root of the right side. The solution to this equation could not be determined.
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