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Simplifying 78c2 + 42c = 0 Reorder the terms: 42c + 78c2 = 0 Solving 42c + 78c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '6c'. 6c(7 + 13c) = 0 Ignore the factor 6.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 '(7 + 13c)' equal to zero and attempt to solve: Simplifying 7 + 13c = 0 Solving 7 + 13c = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 13c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 13c = 0 + -7 13c = 0 + -7 Combine like terms: 0 + -7 = -7 13c = -7 Divide each side by '13'. c = -0.5384615385 Simplifying c = -0.5384615385Solution
c = {0, -0.5384615385}
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