cos^3(x)-2cos^2(x)+1=0

Solution for cos^3(x)-2cos^2(x)+1=0 equation:

Simplifying
cos3(x) + -2cos2(x) + 1 = 0

Multiply cos3 * x
cos3x + -2cos2(x) + 1 = 0

Multiply cos2 * x
cos3x + -2cos2x + 1 = 0

Reorder the terms:
1 + -2cos2x + cos3x = 0

Solving
1 + -2cos2x + cos3x = 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 + -2cos2x + -1 + cos3x = 0 + -1

Reorder the terms:
1 + -1 + -2cos2x + cos3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2cos2x + cos3x = 0 + -1
-2cos2x + cos3x = 0 + -1

Combine like terms: 0 + -1 = -1
-2cos2x + cos3x = -1

Reorder the terms:
1 + -2cos2x + cos3x = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -2cos2x + cos3x = 0

The solution to this equation could not be determined.