Cos^2(x)+2cos(x)-1=0

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Solution for Cos^2(x)+2cos(x)-1=0 equation: 


Simplifying
Cos2(x) + 2cos(x) + -1 = 0

Multiply os2C * x
os2xC + 2cos(x) + -1 = 0

Multiply cos * x
os2xC + 2cosx + -1 = 0

Reorder the terms:
-1 + 2cosx + os2xC = 0

Solving
-1 + 2cosx + os2xC = 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 + 2cosx + 1 + os2xC = 0 + 1

Reorder the terms:
-1 + 1 + 2cosx + os2xC = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2cosx + os2xC = 0 + 1
2cosx + os2xC = 0 + 1

Combine like terms: 0 + 1 = 1
2cosx + os2xC = 1

Add '-1os2xC' to each side of the equation.
2cosx + os2xC + -1os2xC = 1 + -1os2xC

Combine like terms: os2xC + -1os2xC = 0
2cosx + 0 = 1 + -1os2xC
2cosx = 1 + -1os2xC

Divide each side by '2osx'.
c = 0.5o-1s-1x-1 + -0.5sC

Simplifying
c = 0.5o-1s-1x-1 + -0.5sC

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