16cos^4(x)-16cos^2(x)+3=1

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Solution for 16cos^4(x)-16cos^2(x)+3=1 equation: 


Simplifying
16cos4(x) + -16cos2(x) + 3 = 1

Multiply cos4 * x
16cos4x + -16cos2(x) + 3 = 1

Multiply cos2 * x
16cos4x + -16cos2x + 3 = 1

Reorder the terms:
3 + -16cos2x + 16cos4x = 1

Solving
3 + -16cos2x + 16cos4x = 1

Solving for variable 'c'.

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

Add '-3' to each side of the equation.
3 + -16cos2x + -3 + 16cos4x = 1 + -3

Reorder the terms:
3 + -3 + -16cos2x + 16cos4x = 1 + -3

Combine like terms: 3 + -3 = 0
0 + -16cos2x + 16cos4x = 1 + -3
-16cos2x + 16cos4x = 1 + -3

Combine like terms: 1 + -3 = -2
-16cos2x + 16cos4x = -2

Reorder the terms:
2 + -16cos2x + 16cos4x = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -16cos2x + 16cos4x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -8cos2x + 8cos4x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + -8cos2x + 8cos4x)' equal to zero and attempt to solve:

Simplifying
1 + -8cos2x + 8cos4x = 0

Solving
1 + -8cos2x + 8cos4x = 0

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

Add '-1' to each side of the equation.
1 + -8cos2x + -1 + 8cos4x = 0 + -1

Reorder the terms:
1 + -1 + -8cos2x + 8cos4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8cos2x + 8cos4x = 0 + -1
-8cos2x + 8cos4x = 0 + -1

Combine like terms: 0 + -1 = -1
-8cos2x + 8cos4x = -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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