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Simplifying 0 = 2sin(x) * cos(2x) + cos(x) Remove parenthesis around (2x) 0 = 2ins * x * cos * 2x + cos(x) Reorder the terms for easier multiplication: 0 = 2 * 2ins * x * cos * x + cos(x) Multiply 2 * 2 0 = 4ins * x * cos * x + cos(x) Multiply ins * x 0 = 4insx * cos * x + cos(x) Multiply insx * cos 0 = 4cinos2x * x + cos(x) Multiply cinos2x * x 0 = 4cinos2x2 + cos(x) Multiply cos * x 0 = 4cinos2x2 + cosx Solving 0 = 4cinos2x2 + cosx Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4cinos2x2' to each side of the equation. 0 + -4cinos2x2 = 4cinos2x2 + -4cinos2x2 + cosx Remove the zero: -4cinos2x2 = 4cinos2x2 + -4cinos2x2 + cosx Combine like terms: 4cinos2x2 + -4cinos2x2 = 0 -4cinos2x2 = 0 + cosx -4cinos2x2 = cosx Add '-1cosx' to each side of the equation. -4cinos2x2 + -1cosx = cosx + -1cosx Combine like terms: cosx + -1cosx = 0 -4cinos2x2 + -1cosx = 0 Factor out the Greatest Common Factor (GCF), '-1cosx'. -1cosx(4insx + 1) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'cosx' equal to zero and attempt to solve: Simplifying cosx = 0 Solving cosx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cosx = 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 '(4insx + 1)' equal to zero and attempt to solve: Simplifying 4insx + 1 = 0 Reorder the terms: 1 + 4insx = 0 Solving 1 + 4insx = 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 + 4insx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4insx = 0 + -1 4insx = 0 + -1 Combine like terms: 0 + -1 = -1 4insx = -1 Add '-4insx' to each side of the equation. 4insx + -4insx = -1 + -4insx Combine like terms: 4insx + -4insx = 0 0 = -1 + -4insx Simplifying 0 = -1 + -4insx 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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