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Simplifying (3c + -5)(c + 5) = 0 Reorder the terms: (-5 + 3c)(c + 5) = 0 Reorder the terms: (-5 + 3c)(5 + c) = 0 Multiply (-5 + 3c) * (5 + c) (-5(5 + c) + 3c * (5 + c)) = 0 ((5 * -5 + c * -5) + 3c * (5 + c)) = 0 ((-25 + -5c) + 3c * (5 + c)) = 0 (-25 + -5c + (5 * 3c + c * 3c)) = 0 (-25 + -5c + (15c + 3c2)) = 0 Combine like terms: -5c + 15c = 10c (-25 + 10c + 3c2) = 0 Solving -25 + 10c + 3c2 = 0 Solving for variable 'c'. Factor a trinomial. (-5 + -1c)(5 + -3c) = 0Subproblem 1
Set the factor '(-5 + -1c)' equal to zero and attempt to solve: Simplifying -5 + -1c = 0 Solving -5 + -1c = 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 + -1c = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1c = 0 + 5 -1c = 0 + 5 Combine like terms: 0 + 5 = 5 -1c = 5 Divide each side by '-1'. c = -5 Simplifying c = -5Subproblem 2
Set the factor '(5 + -3c)' equal to zero and attempt to solve: Simplifying 5 + -3c = 0 Solving 5 + -3c = 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 + -3c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3c = 0 + -5 -3c = 0 + -5 Combine like terms: 0 + -5 = -5 -3c = -5 Divide each side by '-3'. c = 1.666666667 Simplifying c = 1.666666667Solution
c = {-5, 1.666666667}
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