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Simplifying (7n2 + -1n + 56) = 0 Reorder the terms: (56 + -1n + 7n2) = 0 Remove parenthesis around (56 + -1n + 7n2) 56 + -1n + 7n2 = 0 Solving 56 + -1n + 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'. 8 + -0.1428571429n + n2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -0.1428571429n + -8 + n2 = 0 + -8 Reorder the terms: 8 + -8 + -0.1428571429n + n2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -0.1428571429n + n2 = 0 + -8 -0.1428571429n + n2 = 0 + -8 Combine like terms: 0 + -8 = -8 -0.1428571429n + n2 = -8 The n term is -0.1428571429n. Take half its coefficient (-0.07142857145). Square it (0.005102040819) and add it to both sides. Add '0.005102040819' to each side of the equation. -0.1428571429n + 0.005102040819 + n2 = -8 + 0.005102040819 Reorder the terms: 0.005102040819 + -0.1428571429n + n2 = -8 + 0.005102040819 Combine like terms: -8 + 0.005102040819 = -7.994897959181 0.005102040819 + -0.1428571429n + n2 = -7.994897959181 Factor a perfect square on the left side: (n + -0.07142857145)(n + -0.07142857145) = -7.994897959181 Can't calculate square root of the right side. The solution to this equation could not be determined.
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