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Simplifying c7 + -81c5 = 0 Reorder the terms: -81c5 + c7 = 0 Solving -81c5 + c7 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c5'. c5(-81 + c2) = 0 Factor a difference between two squares. c5((9 + c)(-9 + c)) = 0Subproblem 1
Set the factor 'c5' equal to zero and attempt to solve: Simplifying c5 = 0 Solving c5 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c5 = 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 '(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 = {-9, 9}
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