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Simplifying 7n2 + -12n + 8 = 0 Reorder the terms: 8 + -12n + 7n2 = 0 Solving 8 + -12n + 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'. 1.142857143 + -1.714285714n + n2 = 0 Move the constant term to the right: Add '-1.142857143' to each side of the equation. 1.142857143 + -1.714285714n + -1.142857143 + n2 = 0 + -1.142857143 Reorder the terms: 1.142857143 + -1.142857143 + -1.714285714n + n2 = 0 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + -1.714285714n + n2 = 0 + -1.142857143 -1.714285714n + n2 = 0 + -1.142857143 Combine like terms: 0 + -1.142857143 = -1.142857143 -1.714285714n + n2 = -1.142857143 The n term is -1.714285714n. Take half its coefficient (-0.857142857). Square it (0.7346938773) and add it to both sides. Add '0.7346938773' to each side of the equation. -1.714285714n + 0.7346938773 + n2 = -1.142857143 + 0.7346938773 Reorder the terms: 0.7346938773 + -1.714285714n + n2 = -1.142857143 + 0.7346938773 Combine like terms: -1.142857143 + 0.7346938773 = -0.4081632657 0.7346938773 + -1.714285714n + n2 = -0.4081632657 Factor a perfect square on the left side: (n + -0.857142857)(n + -0.857142857) = -0.4081632657 Can't calculate square root of the right side. The solution to this equation could not be determined.
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