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Simplifying 2c(4c + -3) = 0 Reorder the terms: 2c(-3 + 4c) = 0 (-3 * 2c + 4c * 2c) = 0 (-6c + 8c2) = 0 Solving -6c + 8c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2c'. 2c(-3 + 4c) = 0 Ignore the factor 2.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 + 4c)' equal to zero and attempt to solve: Simplifying -3 + 4c = 0 Solving -3 + 4c = 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 + 4c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4c = 0 + 3 4c = 0 + 3 Combine like terms: 0 + 3 = 3 4c = 3 Divide each side by '4'. c = 0.75 Simplifying c = 0.75Solution
c = {0, 0.75}
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