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Simplifying 2(8c + -15) * 5(3c) = 0 Reorder the terms: 2(-15 + 8c) * 5(3c) = 0 Remove parenthesis around (3c) 2(-15 + 8c) * 5 * 3c = 0 Reorder the terms for easier multiplication: 2 * 5 * 3c(-15 + 8c) = 0 Multiply 2 * 5 10 * 3c(-15 + 8c) = 0 Multiply 10 * 3 30c(-15 + 8c) = 0 (-15 * 30c + 8c * 30c) = 0 (-450c + 240c2) = 0 Solving -450c + 240c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '30c'. 30c(-15 + 8c) = 0 Ignore the factor 30.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 '(-15 + 8c)' equal to zero and attempt to solve: Simplifying -15 + 8c = 0 Solving -15 + 8c = 0 Move all terms containing c to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 8c = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 8c = 0 + 15 8c = 0 + 15 Combine like terms: 0 + 15 = 15 8c = 15 Divide each side by '8'. c = 1.875 Simplifying c = 1.875Solution
c = {0, 1.875}
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