2cosx+8cos^2x-4=0

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Solution for 2cosx+8cos^2x-4=0 equation:


Simplifying
2cosx + 8cos2x + -4 = 0

Reorder the terms:
-4 + 2cosx + 8cos2x = 0

Solving
-4 + 2cosx + 8cos2x = 0

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 2cosx + 4 + 8cos2x = 0 + 4

Reorder the terms:
-4 + 4 + 2cosx + 8cos2x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 2cosx + 8cos2x = 0 + 4
2cosx + 8cos2x = 0 + 4

Combine like terms: 0 + 4 = 4
2cosx + 8cos2x = 4

Reorder the terms:
-4 + 2cosx + 8cos2x = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 2cosx + 8cos2x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + cosx + 4cos2x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-2 + cosx + 4cos2x)' equal to zero and attempt to solve: Simplifying -2 + cosx + 4cos2x = 0 Solving -2 + cosx + 4cos2x = 0 Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + cosx + 2 + 4cos2x = 0 + 2 Reorder the terms: -2 + 2 + cosx + 4cos2x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + cosx + 4cos2x = 0 + 2 cosx + 4cos2x = 0 + 2 Combine like terms: 0 + 2 = 2 cosx + 4cos2x = 2 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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