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Simplifying -7n5(-2n2 + 5n + -5) = 0 Reorder the terms: -7n5(-5 + 5n + -2n2) = 0 (-5 * -7n5 + 5n * -7n5 + -2n2 * -7n5) = 0 (35n5 + -35n6 + 14n7) = 0 Solving 35n5 + -35n6 + 14n7 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '7n5'. 7n5(5 + -5n + 2n2) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'n5' equal to zero and attempt to solve: Simplifying n5 = 0 Solving n5 = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + -5n + 2n2)' equal to zero and attempt to solve: Simplifying 5 + -5n + 2n2 = 0 Solving 5 + -5n + 2n2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 2.5 + -2.5n + n2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + -2.5n + -2.5 + n2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + -2.5n + n2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -2.5n + n2 = 0 + -2.5 -2.5n + n2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 -2.5n + n2 = -2.5 The n term is -2.5n. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5n + 1.5625 + n2 = -2.5 + 1.5625 Reorder the terms: 1.5625 + -2.5n + n2 = -2.5 + 1.5625 Combine like terms: -2.5 + 1.5625 = -0.9375 1.5625 + -2.5n + n2 = -0.9375 Factor a perfect square on the left side: (n + -1.25)(n + -1.25) = -0.9375 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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