8cos^2x+16cosx+8=0

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Solution for 8cos^2x+16cosx+8=0 equation:


Simplifying
8cos2x + 16cosx + 8 = 0

Reorder the terms:
8 + 16cosx + 8cos2x = 0

Solving
8 + 16cosx + 8cos2x = 0

Solving for variable 'c'.

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

Add '-8' to each side of the equation.
8 + 16cosx + -8 + 8cos2x = 0 + -8

Reorder the terms:
8 + -8 + 16cosx + 8cos2x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 16cosx + 8cos2x = 0 + -8
16cosx + 8cos2x = 0 + -8

Combine like terms: 0 + -8 = -8
16cosx + 8cos2x = -8

Reorder the terms:
8 + 16cosx + 8cos2x = -8 + 8

Combine like terms: -8 + 8 = 0
8 + 16cosx + 8cos2x = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(1 + 2cosx + cos2x) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(1 + 2cosx + cos2x)' equal to zero and attempt to solve: Simplifying 1 + 2cosx + cos2x = 0 Solving 1 + 2cosx + cos2x = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2cosx + -1 + cos2x = 0 + -1 Reorder the terms: 1 + -1 + 2cosx + cos2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2cosx + cos2x = 0 + -1 2cosx + cos2x = 0 + -1 Combine like terms: 0 + -1 = -1 2cosx + cos2x = -1 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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