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Simplifying -24c * c = 36c Multiply c * c -24c2 = 36c Solving -24c2 = 36c Solving for variable 'c'. Reorder the terms: -36c + -24c2 = 36c + -36c Combine like terms: 36c + -36c = 0 -36c + -24c2 = 0 Factor out the Greatest Common Factor (GCF), '-12c'. -12c(3 + 2c) = 0 Ignore the factor -12.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 '(3 + 2c)' equal to zero and attempt to solve: Simplifying 3 + 2c = 0 Solving 3 + 2c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2c = 0 + -3 2c = 0 + -3 Combine like terms: 0 + -3 = -3 2c = -3 Divide each side by '2'. c = -1.5 Simplifying c = -1.5Solution
c = {0, -1.5}
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