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Simplifying -7n2 + -9n + -8 = 0 Reorder the terms: -8 + -9n + -7n2 = 0 Solving -8 + -9n + -7n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '-1'. -1(8 + 9n + 7n2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(8 + 9n + 7n2)' equal to zero and attempt to solve: Simplifying 8 + 9n + 7n2 = 0 Solving 8 + 9n + 7n2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.142857143 + 1.285714286n + n2 = 0 Move the constant term to the right: Add '-1.142857143' to each side of the equation. 1.142857143 + 1.285714286n + -1.142857143 + n2 = 0 + -1.142857143 Reorder the terms: 1.142857143 + -1.142857143 + 1.285714286n + n2 = 0 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + 1.285714286n + n2 = 0 + -1.142857143 1.285714286n + n2 = 0 + -1.142857143 Combine like terms: 0 + -1.142857143 = -1.142857143 1.285714286n + n2 = -1.142857143 The n term is 1.285714286n. Take half its coefficient (0.642857143). Square it (0.4132653063) and add it to both sides. Add '0.4132653063' to each side of the equation. 1.285714286n + 0.4132653063 + n2 = -1.142857143 + 0.4132653063 Reorder the terms: 0.4132653063 + 1.285714286n + n2 = -1.142857143 + 0.4132653063 Combine like terms: -1.142857143 + 0.4132653063 = -0.7295918367 0.4132653063 + 1.285714286n + n2 = -0.7295918367 Factor a perfect square on the left side: (n + 0.642857143)(n + 0.642857143) = -0.7295918367 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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