2cos^2x+3cosx=0

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


Simplifying
2cos2x + 3cosx = 0

Reorder the terms:
3cosx + 2cos2x = 0

Solving
3cosx + 2cos2x = 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(3 + 2s) = 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 '(3 + 2s)' equal to zero and attempt to solve: Simplifying 3 + 2s = 0 Solving 3 + 2s = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2s = 0 + -3 2s = 0 + -3 Combine like terms: 0 + -3 = -3 2s = -3 Add '-2s' to each side of the equation. 2s + -2s = -3 + -2s Combine like terms: 2s + -2s = 0 0 = -3 + -2s Simplifying 0 = -3 + -2s 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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