Cos^2(2x)+7cos(2x)-2=0

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Solution for Cos^2(2x)+7cos(2x)-2=0 equation:


Simplifying
Cos2(2x) + 7cos(2x) + -2 = 0

Remove parenthesis around (2x)
os2C * 2x + 7cos(2x) + -2 = 0

Reorder the terms for easier multiplication:
2os2C * x + 7cos(2x) + -2 = 0

Multiply os2C * x
2os2xC + 7cos(2x) + -2 = 0

Remove parenthesis around (2x)
2os2xC + 7cos * 2x + -2 = 0

Reorder the terms for easier multiplication:
2os2xC + 7 * 2cos * x + -2 = 0

Multiply 7 * 2
2os2xC + 14cos * x + -2 = 0

Multiply cos * x
2os2xC + 14cosx + -2 = 0

Reorder the terms:
-2 + 14cosx + 2os2xC = 0

Solving
-2 + 14cosx + 2os2xC = 0

Solving for variable 'c'.

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

Add '2' to each side of the equation.
-2 + 14cosx + 2 + 2os2xC = 0 + 2

Reorder the terms:
-2 + 2 + 14cosx + 2os2xC = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 14cosx + 2os2xC = 0 + 2
14cosx + 2os2xC = 0 + 2

Combine like terms: 0 + 2 = 2
14cosx + 2os2xC = 2

Add '-2os2xC' to each side of the equation.
14cosx + 2os2xC + -2os2xC = 2 + -2os2xC

Combine like terms: 2os2xC + -2os2xC = 0
14cosx + 0 = 2 + -2os2xC
14cosx = 2 + -2os2xC

Divide each side by '14osx'.
c = 0.1428571429o-1s-1x-1 + -0.1428571429sC

Simplifying
c = 0.1428571429o-1s-1x-1 + -0.1428571429sC

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