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Simplifying c4 + -81c2 = 0 Reorder the terms: -81c2 + c4 = 0 Solving -81c2 + c4 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c2'. c2(-81 + c2) = 0 Factor a difference between two squares. c2((9 + c)(-9 + c)) = 0Subproblem 1
Set the factor 'c2' equal to zero and attempt to solve: Simplifying c2 = 0 Solving c2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c2 = 0 Take the square root of each side: c = {0}Subproblem 2
Set the factor '(9 + c)' equal to zero and attempt to solve: Simplifying 9 + c = 0 Solving 9 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + c = 0 + -9 c = 0 + -9 Combine like terms: 0 + -9 = -9 c = -9 Simplifying c = -9Subproblem 3
Set the factor '(-9 + c)' equal to zero and attempt to solve: Simplifying -9 + c = 0 Solving -9 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + c = 0 + 9 Combine like terms: -9 + 9 = 0 0 + c = 0 + 9 c = 0 + 9 Combine like terms: 0 + 9 = 9 c = 9 Simplifying c = 9Solution
c = {0, -9, 9}
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