6cos(x)sin(x)-2cos(x)=0

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Solution for 6cos(x)sin(x)-2cos(x)=0 equation:


Simplifying
6cos(x) * sin(x) + -2cos(x) = 0

Multiply cos * x
6cosx * ins * x + -2cos(x) = 0

Multiply cosx * ins
6cinos2x * x + -2cos(x) = 0

Multiply cinos2x * x
6cinos2x2 + -2cos(x) = 0

Multiply cos * x
6cinos2x2 + -2cosx = 0

Solving
6cinos2x2 + -2cosx = 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), '2cosx'.
2cosx(3insx + -1) = 0

Ignore the factor 2.

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 '(3insx + -1)' equal to zero and attempt to solve: Simplifying 3insx + -1 = 0 Reorder the terms: -1 + 3insx = 0 Solving -1 + 3insx = 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 + 3insx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3insx = 0 + 1 3insx = 0 + 1 Combine like terms: 0 + 1 = 1 3insx = 1 Add '-3insx' to each side of the equation. 3insx + -3insx = 1 + -3insx Combine like terms: 3insx + -3insx = 0 0 = 1 + -3insx Simplifying 0 = 1 + -3insx 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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