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Simplifying c2 + 9cy + 20y2 = 0 Reorder the terms: 9cy + c2 + 20y2 = 0 Solving 9cy + c2 + 20y2 = 0 Solving for variable 'c'. Factor a trinomial. (c + 4y)(c + 5y) = 0Subproblem 1
Set the factor '(c + 4y)' equal to zero and attempt to solve: Simplifying c + 4y = 0 Solving c + 4y = 0 Move all terms containing c to the left, all other terms to the right. Add '-4y' to each side of the equation. c + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 c + 0 = 0 + -4y c = 0 + -4y Remove the zero: c = -4y Simplifying c = -4ySubproblem 2
Set the factor '(c + 5y)' equal to zero and attempt to solve: Simplifying c + 5y = 0 Solving c + 5y = 0 Move all terms containing c to the left, all other terms to the right. Add '-5y' to each side of the equation. c + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 c + 0 = 0 + -5y c = 0 + -5y Remove the zero: c = -5y Simplifying c = -5ySolution
c = {-4y, -5y}
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