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Simplifying 30c + 48c2 + -375 = 0 Reorder the terms: -375 + 30c + 48c2 = 0 Solving -375 + 30c + 48c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3'. 3(-125 + 10c + 16c2) = 0 Factor a trinomial. 3((-25 + -8c)(5 + -2c)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-25 + -8c)' equal to zero and attempt to solve: Simplifying -25 + -8c = 0 Solving -25 + -8c = 0 Move all terms containing c to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -8c = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -8c = 0 + 25 -8c = 0 + 25 Combine like terms: 0 + 25 = 25 -8c = 25 Divide each side by '-8'. c = -3.125 Simplifying c = -3.125Subproblem 2
Set the factor '(5 + -2c)' equal to zero and attempt to solve: Simplifying 5 + -2c = 0 Solving 5 + -2c = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2c = 0 + -5 -2c = 0 + -5 Combine like terms: 0 + -5 = -5 -2c = -5 Divide each side by '-2'. c = 2.5 Simplifying c = 2.5Solution
c = {-3.125, 2.5}
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