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Simplifying 5c2 + -40c = 4125 Reorder the terms: -40c + 5c2 = 4125 Solving -40c + 5c2 = 4125 Solving for variable 'c'. Reorder the terms: -4125 + -40c + 5c2 = 4125 + -4125 Combine like terms: 4125 + -4125 = 0 -4125 + -40c + 5c2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-825 + -8c + c2) = 0 Factor a trinomial. 5((-25 + -1c)(33 + -1c)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-25 + -1c)' equal to zero and attempt to solve: Simplifying -25 + -1c = 0 Solving -25 + -1c = 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 + -1c = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -1c = 0 + 25 -1c = 0 + 25 Combine like terms: 0 + 25 = 25 -1c = 25 Divide each side by '-1'. c = -25 Simplifying c = -25Subproblem 2
Set the factor '(33 + -1c)' equal to zero and attempt to solve: Simplifying 33 + -1c = 0 Solving 33 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -1c = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -1c = 0 + -33 -1c = 0 + -33 Combine like terms: 0 + -33 = -33 -1c = -33 Divide each side by '-1'. c = 33 Simplifying c = 33Solution
c = {-25, 33}
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