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Simplifying 30c2 + -19cs + -63s2 = 0 Reorder the terms: -19cs + 30c2 + -63s2 = 0 Solving -19cs + 30c2 + -63s2 = 0 Solving for variable 'c'. Factor a trinomial. (5c + -9s)(6c + 7s) = 0Subproblem 1
Set the factor '(5c + -9s)' equal to zero and attempt to solve: Simplifying 5c + -9s = 0 Solving 5c + -9s = 0 Move all terms containing c to the left, all other terms to the right. Add '9s' to each side of the equation. 5c + -9s + 9s = 0 + 9s Combine like terms: -9s + 9s = 0 5c + 0 = 0 + 9s 5c = 0 + 9s Remove the zero: 5c = 9s Divide each side by '5'. c = 1.8s Simplifying c = 1.8sSubproblem 2
Set the factor '(6c + 7s)' equal to zero and attempt to solve: Simplifying 6c + 7s = 0 Solving 6c + 7s = 0 Move all terms containing c to the left, all other terms to the right. Add '-7s' to each side of the equation. 6c + 7s + -7s = 0 + -7s Combine like terms: 7s + -7s = 0 6c + 0 = 0 + -7s 6c = 0 + -7s Remove the zero: 6c = -7s Divide each side by '6'. c = -1.166666667s Simplifying c = -1.166666667sSolution
c = {1.8s, -1.166666667s}
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