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Simplifying 20s2 + 11sc + -3c2 = 0 Reorder the terms: 11cs + -3c2 + 20s2 = 0 Solving 11cs + -3c2 + 20s2 = 0 Solving for variable 'c'. Factor a trinomial. (-3c + -4s)(c + -5s) = 0Subproblem 1
Set the factor '(-3c + -4s)' equal to zero and attempt to solve: Simplifying -3c + -4s = 0 Solving -3c + -4s = 0 Move all terms containing c to the left, all other terms to the right. Add '4s' to each side of the equation. -3c + -4s + 4s = 0 + 4s Combine like terms: -4s + 4s = 0 -3c + 0 = 0 + 4s -3c = 0 + 4s Remove the zero: -3c = 4s Divide each side by '-3'. c = -1.333333333s Simplifying c = -1.333333333sSubproblem 2
Set the factor '(c + -5s)' equal to zero and attempt to solve: Simplifying c + -5s = 0 Solving c + -5s = 0 Move all terms containing c to the left, all other terms to the right. Add '5s' to each side of the equation. c + -5s + 5s = 0 + 5s Combine like terms: -5s + 5s = 0 c + 0 = 0 + 5s c = 0 + 5s Remove the zero: c = 5s Simplifying c = 5sSolution
c = {-1.333333333s, 5s}
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