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Simplifying 7n2 + 3n + 3 = 0 Reorder the terms: 3 + 3n + 7n2 = 0 Solving 3 + 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'. 0.4285714286 + 0.4285714286n + n2 = 0 Move the constant term to the right: Add '-0.4285714286' to each side of the equation. 0.4285714286 + 0.4285714286n + -0.4285714286 + n2 = 0 + -0.4285714286 Reorder the terms: 0.4285714286 + -0.4285714286 + 0.4285714286n + n2 = 0 + -0.4285714286 Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000 0.0000000000 + 0.4285714286n + n2 = 0 + -0.4285714286 0.4285714286n + n2 = 0 + -0.4285714286 Combine like terms: 0 + -0.4285714286 = -0.4285714286 0.4285714286n + n2 = -0.4285714286 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 = -0.4285714286 + 0.04591836735 Reorder the terms: 0.04591836735 + 0.4285714286n + n2 = -0.4285714286 + 0.04591836735 Combine like terms: -0.4285714286 + 0.04591836735 = -0.38265306125 0.04591836735 + 0.4285714286n + n2 = -0.38265306125 Factor a perfect square on the left side: (n + 0.2142857143)(n + 0.2142857143) = -0.38265306125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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