8cos^3(x)+8cos(x)=0

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Solution for 8cos^3(x)+8cos(x)=0 equation: 


Simplifying
8cos3(x) + 8cos(x) = 0

Multiply cos3 * x
8cos3x + 8cos(x) = 0

Multiply cos * x
8cos3x + 8cosx = 0

Reorder the terms:
8cosx + 8cos3x = 0

Solving
8cosx + 8cos3x = 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), '8cosx'.
8cosx(1 + s2) = 0

Ignore the factor 8.

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 + s2)' equal to zero and attempt to solve:

Simplifying
1 + s2 = 0

Solving
1 + s2 = 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 + s2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + s2 = 0 + -1
s2 = 0 + -1

Combine like terms: 0 + -1 = -1
s2 = -1

Add '-1s2' to each side of the equation.
s2 + -1s2 = -1 + -1s2

Combine like terms: s2 + -1s2 = 0
0 = -1 + -1s2

Simplifying
0 = -1 + -1s2

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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