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Simplifying cos(2x) = 5cos(x) + -2 Remove parenthesis around (2x) cos * 2x = 5cos(x) + -2 Reorder the terms for easier multiplication: 2cos * x = 5cos(x) + -2 Multiply cos * x 2cosx = 5cos(x) + -2 Multiply cos * x 2cosx = 5cosx + -2 Reorder the terms: 2cosx = -2 + 5cosx Solving 2cosx = -2 + 5cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5cosx' to each side of the equation. 2cosx + -5cosx = -2 + 5cosx + -5cosx Combine like terms: 2cosx + -5cosx = -3cosx -3cosx = -2 + 5cosx + -5cosx Combine like terms: 5cosx + -5cosx = 0 -3cosx = -2 + 0 -3cosx = -2 Divide each side by '-3osx'. c = 0.6666666667o-1s-1x-1 Simplifying c = 0.6666666667o-1s-1x-1
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