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Simplifying 2c4 + -24c2 = 0 Reorder the terms: -24c2 + 2c4 = 0 Solving -24c2 + 2c4 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2c2'. 2c2(-12 + c2) = 0 Ignore the factor 2.Subproblem 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 '(-12 + c2)' equal to zero and attempt to solve: Simplifying -12 + c2 = 0 Solving -12 + c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + c2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + c2 = 0 + 12 c2 = 0 + 12 Combine like terms: 0 + 12 = 12 c2 = 12 Simplifying c2 = 12 Take the square root of each side: c = {-3.464101615, 3.464101615}Solution
c = {0, -3.464101615, 3.464101615}
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