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Simplifying 6x = 9 + 7x2 Solving 6x = 9 + 7x2 Solving for variable 'x'. Reorder the terms: -9 + 6x + -7x2 = 9 + 7x2 + -9 + -7x2 Reorder the terms: -9 + 6x + -7x2 = 9 + -9 + 7x2 + -7x2 Combine like terms: 9 + -9 = 0 -9 + 6x + -7x2 = 0 + 7x2 + -7x2 -9 + 6x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -9 + 6x + -7x2 = 0 Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 1.285714286 + -0.8571428571x + x2 = 0 Move the constant term to the right: Add '-1.285714286' to each side of the equation. 1.285714286 + -0.8571428571x + -1.285714286 + x2 = 0 + -1.285714286 Reorder the terms: 1.285714286 + -1.285714286 + -0.8571428571x + x2 = 0 + -1.285714286 Combine like terms: 1.285714286 + -1.285714286 = 0.000000000 0.000000000 + -0.8571428571x + x2 = 0 + -1.285714286 -0.8571428571x + x2 = 0 + -1.285714286 Combine like terms: 0 + -1.285714286 = -1.285714286 -0.8571428571x + x2 = -1.285714286 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 = -1.285714286 + 0.1836734694 Reorder the terms: 0.1836734694 + -0.8571428571x + x2 = -1.285714286 + 0.1836734694 Combine like terms: -1.285714286 + 0.1836734694 = -1.1020408166 0.1836734694 + -0.8571428571x + x2 = -1.1020408166 Factor a perfect square on the left side: (x + -0.4285714286)(x + -0.4285714286) = -1.1020408166 Can't calculate square root of the right side. The solution to this equation could not be determined.
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