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Simplifying 2c3 + 2c3 + -112c = 0 Reorder the terms: -112c + 2c3 + 2c3 = 0 Combine like terms: 2c3 + 2c3 = 4c3 -112c + 4c3 = 0 Solving -112c + 4c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '4c'. 4c(-28 + c2) = 0 Ignore the factor 4.Subproblem 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 '(-28 + c2)' equal to zero and attempt to solve: Simplifying -28 + c2 = 0 Solving -28 + c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + c2 = 0 + 28 Combine like terms: -28 + 28 = 0 0 + c2 = 0 + 28 c2 = 0 + 28 Combine like terms: 0 + 28 = 28 c2 = 28 Simplifying c2 = 28 Take the square root of each side: c = {-5.291502622, 5.291502622}Solution
c = {0, -5.291502622, 5.291502622}
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