0.25cos(4x)+2.25cos(3x)+cos(2x)-0.25Cos(x)=0

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Solution for 0.25cos(4x)+2.25cos(3x)+cos(2x)-0.25Cos(x)=0 equation: 


Simplifying
0.25cos(4x) + 2.25cos(3x) + cos(2x) + -0.25Cos(x) = 0

Remove parenthesis around (4x)
0.25cos * 4x + 2.25cos(3x) + cos(2x) + -0.25Cos(x) = 0

Reorder the terms for easier multiplication:
0.25 * 4cos * x + 2.25cos(3x) + cos(2x) + -0.25Cos(x) = 0

Multiply 0.25 * 4
1cos * x + 2.25cos(3x) + cos(2x) + -0.25Cos(x) = 0

Multiply cos * x
1cosx + 2.25cos(3x) + cos(2x) + -0.25Cos(x) = 0

Remove parenthesis around (3x)
1cosx + 2.25cos * 3x + cos(2x) + -0.25Cos(x) = 0

Reorder the terms for easier multiplication:
1cosx + 2.25 * 3cos * x + cos(2x) + -0.25Cos(x) = 0

Multiply 2.25 * 3
1cosx + 6.75cos * x + cos(2x) + -0.25Cos(x) = 0

Multiply cos * x
1cosx + 6.75cosx + cos(2x) + -0.25Cos(x) = 0

Remove parenthesis around (2x)
1cosx + 6.75cosx + cos * 2x + -0.25Cos(x) = 0

Reorder the terms for easier multiplication:
1cosx + 6.75cosx + 2cos * x + -0.25Cos(x) = 0

Multiply cos * x
1cosx + 6.75cosx + 2cosx + -0.25Cos(x) = 0

Multiply osC * x
1cosx + 6.75cosx + 2cosx + -0.25osxC = 0

Combine like terms: 1cosx + 6.75cosx = 7.75cosx
7.75cosx + 2cosx + -0.25osxC = 0

Combine like terms: 7.75cosx + 2cosx = 9.75cosx
9.75cosx + -0.25osxC = 0

Solving
9.75cosx + -0.25osxC = 0

Solving for variable 'c'.

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

Add '0.25osxC' to each side of the equation.
9.75cosx + -0.25osxC + 0.25osxC = 0 + 0.25osxC

Combine like terms: -0.25osxC + 0.25osxC = 0.00
9.75cosx + 0.00 = 0 + 0.25osxC
9.75cosx = 0 + 0.25osxC
Remove the zero:
9.75cosx = 0.25osxC

Divide each side by '9.75osx'.
c = 0.02564102564C

Simplifying
c = 0.02564102564C

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