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Simplifying 8c3 + -7c2 = 0 Reorder the terms: -7c2 + 8c3 = 0 Solving -7c2 + 8c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c2'. c2(-7 + 8c) = 0Subproblem 1
Set the factor 'c2' equal to zero and attempt to solve: Simplifying c2 = 0 Solving c2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c2 = 0 Take the square root of each side: c = {0}Subproblem 2
Set the factor '(-7 + 8c)' equal to zero and attempt to solve: Simplifying -7 + 8c = 0 Solving -7 + 8c = 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 + 8c = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 8c = 0 + 7 8c = 0 + 7 Combine like terms: 0 + 7 = 7 8c = 7 Divide each side by '8'. c = 0.875 Simplifying c = 0.875Solution
c = {0, 0.875}
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