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

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


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

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

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

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

Solving
-6cosx + 4cos2x = 4

Solving for variable 'c'.

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

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

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

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-2 + -3cosx + 2cos2x)' equal to zero and attempt to solve: Simplifying -2 + -3cosx + 2cos2x = 0 Solving -2 + -3cosx + 2cos2x = 0 Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3cosx + 2 + 2cos2x = 0 + 2 Reorder the terms: -2 + 2 + -3cosx + 2cos2x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3cosx + 2cos2x = 0 + 2 -3cosx + 2cos2x = 0 + 2 Combine like terms: 0 + 2 = 2 -3cosx + 2cos2x = 2 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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