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Simplifying 7n2 + -3n + 10 = 0 Reorder the terms: 10 + -3n + 7n2 = 0 Solving 10 + -3n + 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 + -0.4285714286n + n2 = 0 Move the constant term to the right: Add '-1.428571429' to each side of the equation. 1.428571429 + -0.4285714286n + -1.428571429 + n2 = 0 + -1.428571429 Reorder the terms: 1.428571429 + -1.428571429 + -0.4285714286n + n2 = 0 + -1.428571429 Combine like terms: 1.428571429 + -1.428571429 = 0.000000000 0.000000000 + -0.4285714286n + n2 = 0 + -1.428571429 -0.4285714286n + n2 = 0 + -1.428571429 Combine like terms: 0 + -1.428571429 = -1.428571429 -0.4285714286n + n2 = -1.428571429 The n term is -0.4285714286n. Take half its coefficient (-0.2142857143). Square it (0.04591836735) and add it to both sides. Add '0.04591836735' to each side of the equation. -0.4285714286n + 0.04591836735 + n2 = -1.428571429 + 0.04591836735 Reorder the terms: 0.04591836735 + -0.4285714286n + n2 = -1.428571429 + 0.04591836735 Combine like terms: -1.428571429 + 0.04591836735 = -1.38265306165 0.04591836735 + -0.4285714286n + n2 = -1.38265306165 Factor a perfect square on the left side: (n + -0.2142857143)(n + -0.2142857143) = -1.38265306165 Can't calculate square root of the right side. The solution to this equation could not be determined.
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