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Simplifying c(c + -5) + -5(c + -5) = 0 Reorder the terms: c(-5 + c) + -5(c + -5) = 0 (-5 * c + c * c) + -5(c + -5) = 0 (-5c + c2) + -5(c + -5) = 0 Reorder the terms: -5c + c2 + -5(-5 + c) = 0 -5c + c2 + (-5 * -5 + c * -5) = 0 -5c + c2 + (25 + -5c) = 0 Reorder the terms: 25 + -5c + -5c + c2 = 0 Combine like terms: -5c + -5c = -10c 25 + -10c + c2 = 0 Solving 25 + -10c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (5 + -1c)(5 + -1c) = 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 + -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 = {5, 5}
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