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Simplifying (cosx + 1)(cosx + -5) = 0 Reorder the terms: (1 + cosx)(cosx + -5) = 0 Reorder the terms: (1 + cosx)(-5 + cosx) = 0 Multiply (1 + cosx) * (-5 + cosx) (1(-5 + cosx) + cosx(-5 + cosx)) = 0 ((-5 * 1 + cosx * 1) + cosx(-5 + cosx)) = 0 ((-5 + 1cosx) + cosx(-5 + cosx)) = 0 (-5 + 1cosx + (-5 * cosx + cosx * cosx)) = 0 (-5 + 1cosx + (-5cosx + c2o2s2x2)) = 0 Combine like terms: 1cosx + -5cosx = -4cosx (-5 + -4cosx + c2o2s2x2) = 0 Solving -5 + -4cosx + c2o2s2x2 = 0 Solving for variable 'c'. Factor a trinomial. (-1 + -1cosx)(5 + -1cosx) = 0Subproblem 1
Set the factor '(-1 + -1cosx)' equal to zero and attempt to solve: Simplifying -1 + -1cosx = 0 Solving -1 + -1cosx = 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 + -1cosx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1cosx = 0 + 1 -1cosx = 0 + 1 Combine like terms: 0 + 1 = 1 -1cosx = 1 Divide each side by '-1osx'. c = -1o-1s-1x-1 Simplifying c = -1o-1s-1x-1Subproblem 2
Set the factor '(5 + -1cosx)' equal to zero and attempt to solve: Simplifying 5 + -1cosx = 0 Solving 5 + -1cosx = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1cosx = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1cosx = 0 + -5 -1cosx = 0 + -5 Combine like terms: 0 + -5 = -5 -1cosx = -5 Divide each side by '-1osx'. c = 5o-1s-1x-1 Simplifying c = 5o-1s-1x-1Solution
c = {-1o-1s-1x-1, 5o-1s-1x-1}
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