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Simplifying 8c(26c + 18) = 0 Reorder the terms: 8c(18 + 26c) = 0 (18 * 8c + 26c * 8c) = 0 (144c + 208c2) = 0 Solving 144c + 208c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '16c'. 16c(9 + 13c) = 0 Ignore the factor 16.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 '(9 + 13c)' equal to zero and attempt to solve: Simplifying 9 + 13c = 0 Solving 9 + 13c = 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 + 13c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 13c = 0 + -9 13c = 0 + -9 Combine like terms: 0 + -9 = -9 13c = -9 Divide each side by '13'. c = -0.6923076923 Simplifying c = -0.6923076923Solution
c = {0, -0.6923076923}
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