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Simplifying 7x2 + -32x + 48 = 0 Reorder the terms: 48 + -32x + 7x2 = 0 Solving 48 + -32x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 6.857142857 + -4.571428571x + x2 = 0 Move the constant term to the right: Add '-6.857142857' to each side of the equation. 6.857142857 + -4.571428571x + -6.857142857 + x2 = 0 + -6.857142857 Reorder the terms: 6.857142857 + -6.857142857 + -4.571428571x + x2 = 0 + -6.857142857 Combine like terms: 6.857142857 + -6.857142857 = 0.000000000 0.000000000 + -4.571428571x + x2 = 0 + -6.857142857 -4.571428571x + x2 = 0 + -6.857142857 Combine like terms: 0 + -6.857142857 = -6.857142857 -4.571428571x + x2 = -6.857142857 The x term is -4.571428571x. Take half its coefficient (-2.285714286). Square it (5.224489797) and add it to both sides. Add '5.224489797' to each side of the equation. -4.571428571x + 5.224489797 + x2 = -6.857142857 + 5.224489797 Reorder the terms: 5.224489797 + -4.571428571x + x2 = -6.857142857 + 5.224489797 Combine like terms: -6.857142857 + 5.224489797 = -1.63265306 5.224489797 + -4.571428571x + x2 = -1.63265306 Factor a perfect square on the left side: (x + -2.285714286)(x + -2.285714286) = -1.63265306 Can't calculate square root of the right side. The solution to this equation could not be determined.
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