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Simplifying cos3 = 4cos3 + -3cos Reorder the terms: cos3 = -3cos + 4cos3 Solving cos3 = -3cos + 4cos3 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3cos' to each side of the equation. 3cos + cos3 = -3cos + 3cos + 4cos3 Combine like terms: -3cos + 3cos = 0 3cos + cos3 = 0 + 4cos3 3cos + cos3 = 4cos3 Add '-4cos3' to each side of the equation. 3cos + cos3 + -4cos3 = 4cos3 + -4cos3 Combine like terms: cos3 + -4cos3 = -3cos3 3cos + -3cos3 = 4cos3 + -4cos3 Combine like terms: 4cos3 + -4cos3 = 0 3cos + -3cos3 = 0 Factor out the Greatest Common Factor (GCF), '3cos'. 3cos(1 + -1s2) = 0 Factor a difference between two squares. 3cos((1 + s)(1 + -1s)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'cos' equal to zero and attempt to solve: Simplifying cos = 0 Solving cos = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cos = 0 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 '(1 + s)' equal to zero and attempt to solve: Simplifying 1 + s = 0 Solving 1 + s = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + s = 0 + -1 s = 0 + -1 Combine like terms: 0 + -1 = -1 s = -1 Add '-1s' to each side of the equation. s + -1s = -1 + -1s Combine like terms: s + -1s = 0 0 = -1 + -1s Simplifying 0 = -1 + -1s The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + -1s)' equal to zero and attempt to solve: Simplifying 1 + -1s = 0 Solving 1 + -1s = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1s = 0 + -1 -1s = 0 + -1 Combine like terms: 0 + -1 = -1 -1s = -1 Add 's' to each side of the equation. -1s + s = -1 + s Combine like terms: -1s + s = 0 0 = -1 + s Simplifying 0 = -1 + s 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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