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Simplifying 6x2 + -21x + 52 = 0 Reorder the terms: 52 + -21x + 6x2 = 0 Solving 52 + -21x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 8.666666667 + -3.5x + x2 = 0 Move the constant term to the right: Add '-8.666666667' to each side of the equation. 8.666666667 + -3.5x + -8.666666667 + x2 = 0 + -8.666666667 Reorder the terms: 8.666666667 + -8.666666667 + -3.5x + x2 = 0 + -8.666666667 Combine like terms: 8.666666667 + -8.666666667 = 0.000000000 0.000000000 + -3.5x + x2 = 0 + -8.666666667 -3.5x + x2 = 0 + -8.666666667 Combine like terms: 0 + -8.666666667 = -8.666666667 -3.5x + x2 = -8.666666667 The x term is -3.5x. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5x + 3.0625 + x2 = -8.666666667 + 3.0625 Reorder the terms: 3.0625 + -3.5x + x2 = -8.666666667 + 3.0625 Combine like terms: -8.666666667 + 3.0625 = -5.604166667 3.0625 + -3.5x + x2 = -5.604166667 Factor a perfect square on the left side: (x + -1.75)(x + -1.75) = -5.604166667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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