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Simplifying 2c(8 + 5)(8c + -13) = 0 Combine like terms: 8 + 5 = 13 2c(13)(8c + -13) = 0 Reorder the terms: 2c * 13(-13 + 8c) = 0 Reorder the terms for easier multiplication: 2 * 13c(-13 + 8c) = 0 Multiply 2 * 13 26c(-13 + 8c) = 0 (-13 * 26c + 8c * 26c) = 0 (-338c + 208c2) = 0 Solving -338c + 208c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '26c'. 26c(-13 + 8c) = 0 Ignore the factor 26.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 '(-13 + 8c)' equal to zero and attempt to solve: Simplifying -13 + 8c = 0 Solving -13 + 8c = 0 Move all terms containing c to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 8c = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 8c = 0 + 13 8c = 0 + 13 Combine like terms: 0 + 13 = 13 8c = 13 Divide each side by '8'. c = 1.625 Simplifying c = 1.625Solution
c = {0, 1.625}
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