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Simplifying 7n2 = -5 + -8n Solving 7n2 = -5 + -8n Solving for variable 'n'. Reorder the terms: 5 + 8n + 7n2 = -5 + -8n + 5 + 8n Reorder the terms: 5 + 8n + 7n2 = -5 + 5 + -8n + 8n Combine like terms: -5 + 5 = 0 5 + 8n + 7n2 = 0 + -8n + 8n 5 + 8n + 7n2 = -8n + 8n Combine like terms: -8n + 8n = 0 5 + 8n + 7n2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.7142857143 + 1.142857143n + n2 = 0 Move the constant term to the right: Add '-0.7142857143' to each side of the equation. 0.7142857143 + 1.142857143n + -0.7142857143 + n2 = 0 + -0.7142857143 Reorder the terms: 0.7142857143 + -0.7142857143 + 1.142857143n + n2 = 0 + -0.7142857143 Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000 0.0000000000 + 1.142857143n + n2 = 0 + -0.7142857143 1.142857143n + n2 = 0 + -0.7142857143 Combine like terms: 0 + -0.7142857143 = -0.7142857143 1.142857143n + n2 = -0.7142857143 The n term is 1.142857143n. Take half its coefficient (0.5714285715). Square it (0.3265306123) and add it to both sides. Add '0.3265306123' to each side of the equation. 1.142857143n + 0.3265306123 + n2 = -0.7142857143 + 0.3265306123 Reorder the terms: 0.3265306123 + 1.142857143n + n2 = -0.7142857143 + 0.3265306123 Combine like terms: -0.7142857143 + 0.3265306123 = -0.387755102 0.3265306123 + 1.142857143n + n2 = -0.387755102 Factor a perfect square on the left side: (n + 0.5714285715)(n + 0.5714285715) = -0.387755102 Can't calculate square root of the right side. The solution to this equation could not be determined.
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