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Simplifying (4c + 1) * 6c + -5c = 28c Reorder the terms: (1 + 4c) * 6c + -5c = 28c Reorder the terms for easier multiplication: 6c(1 + 4c) + -5c = 28c (1 * 6c + 4c * 6c) + -5c = 28c (6c + 24c2) + -5c = 28c Reorder the terms: 6c + -5c + 24c2 = 28c Combine like terms: 6c + -5c = 1c 1c + 24c2 = 28c Solving 1c + 24c2 = 28c Solving for variable 'c'. Reorder the terms: 1c + -28c + 24c2 = 28c + -28c Combine like terms: 1c + -28c = -27c -27c + 24c2 = 28c + -28c Combine like terms: 28c + -28c = 0 -27c + 24c2 = 0 Factor out the Greatest Common Factor (GCF), '3c'. 3c(-9 + 8c) = 0 Ignore the factor 3.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 + 8c)' equal to zero and attempt to solve: Simplifying -9 + 8c = 0 Solving -9 + 8c = 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 + 8c = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 8c = 0 + 9 8c = 0 + 9 Combine like terms: 0 + 9 = 9 8c = 9 Divide each side by '8'. c = 1.125 Simplifying c = 1.125Solution
c = {0, 1.125}
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