4cos^2(2x)+8cos^2x=7

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Solution for 4cos^2(2x)+8cos^2x=7 equation:


Simplifying
4cos2(2x) + 8cos2x = 7

Remove parenthesis around (2x)
4cos2 * 2x + 8cos2x = 7

Reorder the terms for easier multiplication:
4 * 2cos2 * x + 8cos2x = 7

Multiply 4 * 2
8cos2 * x + 8cos2x = 7

Multiply cos2 * x
8cos2x + 8cos2x = 7

Combine like terms: 8cos2x + 8cos2x = 16cos2x
16cos2x = 7

Solving
16cos2x = 7

Solving for variable 'c'.

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

Divide each side by '16os2x'.
c = 0.4375o-1s-2x-1

Simplifying
c = 0.4375o-1s-2x-1

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