3cos^2x+5cosx=0

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Solution for 3cos^2x+5cosx=0 equation:


Simplifying
3cos2x + 5cosx = 0

Reorder the terms:
5cosx + 3cos2x = 0

Solving
5cosx + 3cos2x = 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), 'cosx'.
cosx(5 + 3s) = 0

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 '(5 + 3s)' equal to zero and attempt to solve: Simplifying 5 + 3s = 0 Solving 5 + 3s = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3s = 0 + -5 3s = 0 + -5 Combine like terms: 0 + -5 = -5 3s = -5 Add '-3s' to each side of the equation. 3s + -3s = -5 + -3s Combine like terms: 3s + -3s = 0 0 = -5 + -3s Simplifying 0 = -5 + -3s 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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