5cos^2(x)+cos(x)=0

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Solution for 5cos^2(x)+cos(x)=0 equation:


Simplifying
5cos2(x) + cos(x) = 0

Multiply cos2 * x
5cos2x + cos(x) = 0

Multiply cos * x
5cos2x + cosx = 0

Reorder the terms:
cosx + 5cos2x = 0

Solving
cosx + 5cos2x = 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(1 + 5s) = 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 '(1 + 5s)' equal to zero and attempt to solve: Simplifying 1 + 5s = 0 Solving 1 + 5s = 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 + 5s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5s = 0 + -1 5s = 0 + -1 Combine like terms: 0 + -1 = -1 5s = -1 Add '-5s' to each side of the equation. 5s + -5s = -1 + -5s Combine like terms: 5s + -5s = 0 0 = -1 + -5s Simplifying 0 = -1 + -5s 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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