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Simplifying 7n2 + -6n + 10 = 0 Reorder the terms: 10 + -6n + 7n2 = 0 Solving 10 + -6n + 7n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.428571429 + -0.8571428571n + n2 = 0 Move the constant term to the right: Add '-1.428571429' to each side of the equation. 1.428571429 + -0.8571428571n + -1.428571429 + n2 = 0 + -1.428571429 Reorder the terms: 1.428571429 + -1.428571429 + -0.8571428571n + n2 = 0 + -1.428571429 Combine like terms: 1.428571429 + -1.428571429 = 0.000000000 0.000000000 + -0.8571428571n + n2 = 0 + -1.428571429 -0.8571428571n + n2 = 0 + -1.428571429 Combine like terms: 0 + -1.428571429 = -1.428571429 -0.8571428571n + n2 = -1.428571429 The n term is -0.8571428571n. 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. -0.8571428571n + 0.1836734694 + n2 = -1.428571429 + 0.1836734694 Reorder the terms: 0.1836734694 + -0.8571428571n + n2 = -1.428571429 + 0.1836734694 Combine like terms: -1.428571429 + 0.1836734694 = -1.2448979596 0.1836734694 + -0.8571428571n + n2 = -1.2448979596 Factor a perfect square on the left side: (n + -0.4285714286)(n + -0.4285714286) = -1.2448979596 Can't calculate square root of the right side. The solution to this equation could not be determined.
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