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Simplifying 10c2 + -15c = 0 Reorder the terms: -15c + 10c2 = 0 Solving -15c + 10c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '5c'. 5c(-3 + 2c) = 0 Ignore the factor 5.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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