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Simplifying 81c3 + 90c2 + 25c = 0 Reorder the terms: 25c + 90c2 + 81c3 = 0 Solving 25c + 90c2 + 81c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(25 + 90c + 81c2) = 0 Factor a trinomial. c((5 + 9c)(5 + 9c)) = 0Subproblem 1
Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0Subproblem 2
Set the factor '(5 + 9c)' equal to zero and attempt to solve: Simplifying 5 + 9c = 0 Solving 5 + 9c = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 9c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9c = 0 + -5 9c = 0 + -5 Combine like terms: 0 + -5 = -5 9c = -5 Divide each side by '9'. c = -0.5555555556 Simplifying c = -0.5555555556Subproblem 3
Set the factor '(5 + 9c)' equal to zero and attempt to solve: Simplifying 5 + 9c = 0 Solving 5 + 9c = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 9c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9c = 0 + -5 9c = 0 + -5 Combine like terms: 0 + -5 = -5 9c = -5 Divide each side by '9'. c = -0.5555555556 Simplifying c = -0.5555555556Solution
c = {0, -0.5555555556, -0.5555555556}
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