4cos^2(x)-6cos(x)+2=0

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Solution for 4cos^2(x)-6cos(x)+2=0 equation:


Simplifying
4cos2(x) + -6cos(x) + 2 = 0

Multiply cos2 * x
4cos2x + -6cos(x) + 2 = 0

Multiply cos * x
4cos2x + -6cosx + 2 = 0

Reorder the terms:
2 + -6cosx + 4cos2x = 0

Solving
2 + -6cosx + 4cos2x = 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 + -6cosx + -2 + 4cos2x = 0 + -2

Reorder the terms:
2 + -2 + -6cosx + 4cos2x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -6cosx + 4cos2x = 0 + -2
-6cosx + 4cos2x = 0 + -2

Combine like terms: 0 + -2 = -2
-6cosx + 4cos2x = -2

Reorder the terms:
2 + -6cosx + 4cos2x = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -6cosx + 4cos2x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -3cosx + 2cos2x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -3cosx + 2cos2x)' equal to zero and attempt to solve: Simplifying 1 + -3cosx + 2cos2x = 0 Solving 1 + -3cosx + 2cos2x = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -3cosx + -1 + 2cos2x = 0 + -1 Reorder the terms: 1 + -1 + -3cosx + 2cos2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3cosx + 2cos2x = 0 + -1 -3cosx + 2cos2x = 0 + -1 Combine like terms: 0 + -1 = -1 -3cosx + 2cos2x = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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