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