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Simplifying (-1c + 5)(-9c + 5) = 0 Reorder the terms: (5 + -1c)(-9c + 5) = 0 Reorder the terms: (5 + -1c)(5 + -9c) = 0 Multiply (5 + -1c) * (5 + -9c) (5(5 + -9c) + -1c * (5 + -9c)) = 0 ((5 * 5 + -9c * 5) + -1c * (5 + -9c)) = 0 ((25 + -45c) + -1c * (5 + -9c)) = 0 (25 + -45c + (5 * -1c + -9c * -1c)) = 0 (25 + -45c + (-5c + 9c2)) = 0 Combine like terms: -45c + -5c = -50c (25 + -50c + 9c2) = 0 Solving 25 + -50c + 9c2 = 0 Solving for variable 'c'. Factor a trinomial. (5 + -9c)(5 + -1c) = 0Subproblem 1
Set the factor '(5 + -9c)' equal to zero and attempt to solve: Simplifying 5 + -9c = 0 Solving 5 + -9c = 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 + -9c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9c = 0 + -5 -9c = 0 + -5 Combine like terms: 0 + -5 = -5 -9c = -5 Divide each side by '-9'. c = 0.5555555556 Simplifying c = 0.5555555556Subproblem 2
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 = 5Solution
c = {0.5555555556, 5}
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