10cos(2x)-8cosx+1=0

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Solution for 10cos(2x)-8cosx+1=0 equation:


Simplifying
10cos(2x) + -8cosx + 1 = 0

Remove parenthesis around (2x)
10cos * 2x + -8cosx + 1 = 0

Reorder the terms for easier multiplication:
10 * 2cos * x + -8cosx + 1 = 0

Multiply 10 * 2
20cos * x + -8cosx + 1 = 0

Multiply cos * x
20cosx + -8cosx + 1 = 0

Reorder the terms:
1 + 20cosx + -8cosx = 0

Combine like terms: 20cosx + -8cosx = 12cosx
1 + 12cosx = 0

Solving
1 + 12cosx = 0

Solving for variable 'c'.

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

Add '-1' to each side of the equation.
1 + -1 + 12cosx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 12cosx = 0 + -1
12cosx = 0 + -1

Combine like terms: 0 + -1 = -1
12cosx = -1

Divide each side by '12osx'.
c = -0.08333333333o-1s-1x-1

Simplifying
c = -0.08333333333o-1s-1x-1

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