7cos^2x-5cosx=0

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Solution for 7cos^2x-5cosx=0 equation:


Simplifying
7cos2x + -5cosx = 0

Reorder the terms:
-5cosx + 7cos2x = 0

Solving
-5cosx + 7cos2x = 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 + 7s) = 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 + 7s)' equal to zero and attempt to solve: Simplifying -5 + 7s = 0 Solving -5 + 7s = 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 + 7s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7s = 0 + 5 7s = 0 + 5 Combine like terms: 0 + 5 = 5 7s = 5 Add '-7s' to each side of the equation. 7s + -7s = 5 + -7s Combine like terms: 7s + -7s = 0 0 = 5 + -7s Simplifying 0 = 5 + -7s 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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