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Simplifying 12c2 + -7c3 = 0 Solving 12c2 + -7c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c2'. c2(12 + -7c) = 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 '(12 + -7c)' equal to zero and attempt to solve: Simplifying 12 + -7c = 0 Solving 12 + -7c = 0 Move all terms containing c to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -7c = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -7c = 0 + -12 -7c = 0 + -12 Combine like terms: 0 + -12 = -12 -7c = -12 Divide each side by '-7'. c = 1.714285714 Simplifying c = 1.714285714Solution
c = {0, 1.714285714}
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