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Simplifying 10c2 + -45c = 0 Reorder the terms: -45c + 10c2 = 0 Solving -45c + 10c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '5c'. 5c(-9 + 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 '(-9 + 2c)' equal to zero and attempt to solve: Simplifying -9 + 2c = 0 Solving -9 + 2c = 0 Move all terms containing c to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2c = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2c = 0 + 9 2c = 0 + 9 Combine like terms: 0 + 9 = 9 2c = 9 Divide each side by '2'. c = 4.5 Simplifying c = 4.5Solution
c = {0, 4.5}
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