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Simplifying 120cos + 100cos2x + -100sin = 0 Solving 120cos + 100cos2x + -100ins = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '100ins' to each side of the equation. 120cos + 100cos2x + -100ins + 100ins = 0 + 100ins Combine like terms: -100ins + 100ins = 0 120cos + 100cos2x + 0 = 0 + 100ins 120cos + 100cos2x = 0 + 100ins Remove the zero: 120cos + 100cos2x = 100ins Combine like terms: 100ins + -100ins = 0 120cos + 100cos2x + -100ins = 0 Factor out the Greatest Common Factor (GCF), '20s'. 20s(6co + 5cosx + -5in) = 0 Ignore the factor 20.Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing c to the left, all other terms to the right. Add '-1s' to each side of the equation. s + -1s = 0 + -1s Remove the zero: 0 = -1s Simplifying 0 = -1s The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(6co + 5cosx + -5in)' equal to zero and attempt to solve: Simplifying 6co + 5cosx + -5in = 0 Solving 6co + 5cosx + -5in = 0 Move all terms containing c to the left, all other terms to the right. Add '5in' to each side of the equation. 6co + 5cosx + -5in + 5in = 0 + 5in Combine like terms: -5in + 5in = 0 6co + 5cosx + 0 = 0 + 5in 6co + 5cosx = 0 + 5in Remove the zero: 6co + 5cosx = 5in The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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