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Simplifying 6x2 + x2 + -10x + 4x + 27 + -20 = 0 Reorder the terms: 27 + -20 + -10x + 4x + 6x2 + x2 = 0 Combine like terms: 27 + -20 = 7 7 + -10x + 4x + 6x2 + x2 = 0 Combine like terms: -10x + 4x = -6x 7 + -6x + 6x2 + x2 = 0 Combine like terms: 6x2 + x2 = 7x2 7 + -6x + 7x2 = 0 Solving 7 + -6x + 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'. 1 + -0.8571428571x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.8571428571x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.8571428571x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.8571428571x + x2 = 0 + -1 -0.8571428571x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.8571428571x + x2 = -1 The x term is -0.8571428571x. Take half its coefficient (-0.4285714286). Square it (0.1836734694) and add it to both sides. Add '0.1836734694' to each side of the equation. -0.8571428571x + 0.1836734694 + x2 = -1 + 0.1836734694 Reorder the terms: 0.1836734694 + -0.8571428571x + x2 = -1 + 0.1836734694 Combine like terms: -1 + 0.1836734694 = -0.8163265306 0.1836734694 + -0.8571428571x + x2 = -0.8163265306 Factor a perfect square on the left side: (x + -0.4285714286)(x + -0.4285714286) = -0.8163265306 Can't calculate square root of the right side. The solution to this equation could not be determined.
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