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Simplifying 225 + 810n + 729n2 = 0 Solving 225 + 810n + 729n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '9'. 9(25 + 90n + 81n2) = 0 Factor a trinomial. 9((5 + 9n)(5 + 9n)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(5 + 9n)' equal to zero and attempt to solve: Simplifying 5 + 9n = 0 Solving 5 + 9n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 9n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9n = 0 + -5 9n = 0 + -5 Combine like terms: 0 + -5 = -5 9n = -5 Divide each side by '9'. n = -0.5555555556 Simplifying n = -0.5555555556Subproblem 2
Set the factor '(5 + 9n)' equal to zero and attempt to solve: Simplifying 5 + 9n = 0 Solving 5 + 9n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 9n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9n = 0 + -5 9n = 0 + -5 Combine like terms: 0 + -5 = -5 9n = -5 Divide each side by '9'. n = -0.5555555556 Simplifying n = -0.5555555556Solution
n = {-0.5555555556, -0.5555555556}
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