4cos(x)+2(2cos(x)sin(x))=0

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Solution for 4cos(x)+2(2cos(x)sin(x))=0 equation:


Simplifying
4cos(x) + 2(2cos(x) * sin(x)) = 0

Multiply cos * x
4cosx + 2(2cos(x) * sin(x)) = 0

Multiply cos * x
4cosx + 2(2cosx * ins * x) = 0

Multiply cosx * ins
4cosx + 2(2cinos2x * x) = 0

Multiply cinos2x * x
4cosx + 2(2cinos2x2) = 0

Remove parenthesis around (2cinos2x2)
4cosx + 2 * 2cinos2x2 = 0

Multiply 2 * 2
4cosx + 4cinos2x2 = 0

Reorder the terms:
4cinos2x2 + 4cosx = 0

Solving
4cinos2x2 + 4cosx = 0

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), '4cosx'.
4cosx(insx + 1) = 0

Ignore the factor 4.

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 '(insx + 1)' equal to zero and attempt to solve: Simplifying insx + 1 = 0 Reorder the terms: 1 + insx = 0 Solving 1 + insx = 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 + insx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + insx = 0 + -1 insx = 0 + -1 Combine like terms: 0 + -1 = -1 insx = -1 Add '-1insx' to each side of the equation. insx + -1insx = -1 + -1insx Combine like terms: insx + -1insx = 0 0 = -1 + -1insx Simplifying 0 = -1 + -1insx 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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