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Simplifying 8c + 5c(c + -3) = 0 Reorder the terms: 8c + 5c(-3 + c) = 0 8c + (-3 * 5c + c * 5c) = 0 8c + (-15c + 5c2) = 0 Combine like terms: 8c + -15c = -7c -7c + 5c2 = 0 Solving -7c + 5c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(-7 + 5c) = 0Subproblem 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 + 5c)' equal to zero and attempt to solve: Simplifying -7 + 5c = 0 Solving -7 + 5c = 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 + 5c = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5c = 0 + 7 5c = 0 + 7 Combine like terms: 0 + 7 = 7 5c = 7 Divide each side by '5'. c = 1.4 Simplifying c = 1.4Solution
c = {0, 1.4}
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