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Simplifying (c + -3)(-9c4 + -7c3 + -5c2) = 0 Reorder the terms: (-3 + c)(-9c4 + -7c3 + -5c2) = 0 Reorder the terms: (-3 + c)(-5c2 + -7c3 + -9c4) = 0 Multiply (-3 + c) * (-5c2 + -7c3 + -9c4) (-3(-5c2 + -7c3 + -9c4) + c(-5c2 + -7c3 + -9c4)) = 0 ((-5c2 * -3 + -7c3 * -3 + -9c4 * -3) + c(-5c2 + -7c3 + -9c4)) = 0 ((15c2 + 21c3 + 27c4) + c(-5c2 + -7c3 + -9c4)) = 0 (15c2 + 21c3 + 27c4 + (-5c2 * c + -7c3 * c + -9c4 * c)) = 0 (15c2 + 21c3 + 27c4 + (-5c3 + -7c4 + -9c5)) = 0 Reorder the terms: (15c2 + 21c3 + -5c3 + 27c4 + -7c4 + -9c5) = 0 Combine like terms: 21c3 + -5c3 = 16c3 (15c2 + 16c3 + 27c4 + -7c4 + -9c5) = 0 Combine like terms: 27c4 + -7c4 = 20c4 (15c2 + 16c3 + 20c4 + -9c5) = 0 Solving 15c2 + 16c3 + 20c4 + -9c5 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c2'. c2(15 + 16c + 20c2 + -9c3) = 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 '(15 + 16c + 20c2 + -9c3)' equal to zero and attempt to solve: Simplifying 15 + 16c + 20c2 + -9c3 = 0 Solving 15 + 16c + 20c2 + -9c3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
c = {0}
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