cos(4x)+(4cos(2X))=8(cos^4(x))-3

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Solution for cos(4x)+(4cos(2X))=8(cos^4(x))-3 equation:


Simplifying
cos(4x) + (4cos(2X)) = 8(cos4(x)) + -3

Remove parenthesis around (4x)
cos * 4x + (4cos(2X)) = 8(cos4(x)) + -3

Reorder the terms for easier multiplication:
4cos * x + (4cos(2X)) = 8(cos4(x)) + -3

Multiply cos * x
4cosx + (4cos(2X)) = 8(cos4(x)) + -3

Remove parenthesis around (2X)
4cosx + (4cos * 2X) = 8(cos4(x)) + -3

Reorder the terms for easier multiplication:
4cosx + (4 * 2cos * X) = 8(cos4(x)) + -3

Multiply 4 * 2
4cosx + (8cos * X) = 8(cos4(x)) + -3

Multiply cos * X
4cosx + (8cosX) = 8(cos4(x)) + -3

Reorder the terms:
(8cosX) + 4cosx = 8(cos4(x)) + -3

Multiply cos4 * x
(8cosX) + 4cosx = 8(cos4x) + -3

Reorder the terms:
(8cosX) + 4cosx = -3 + 8cos4x

Solving
(8cosX) + 4cosx = -3 + 8cos4x

Solving for variable 'c'.

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

Add '-8cos4x' to each side of the equation.
(8cosX) + 4cosx + -8cos4x = -3 + 8cos4x + -8cos4x

Combine like terms: 8cos4x + -8cos4x = 0
(8cosX) + 4cosx + -8cos4x = -3 + 0
(8cosX) + 4cosx + -8cos4x = -3

Reorder the terms:
3 + (8cosX) + 4cosx + -8cos4x = -3 + 3

Combine like terms: -3 + 3 = 0
3 + (8cosX) + 4cosx + -8cos4x = 0

The solution to this equation could not be determined.

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