4sin^2(x)-cos(2x)=5-6cos^2(x)

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Solution for 4sin^2(x)-cos(2x)=5-6cos^2(x) equation: 


Simplifying
4sin2(x) + -1cos(2x) = 5 + -6cos2(x)

Multiply in2s * x
4in2sx + -1cos(2x) = 5 + -6cos2(x)

Remove parenthesis around (2x)
4in2sx + -1cos * 2x = 5 + -6cos2(x)

Reorder the terms for easier multiplication:
4in2sx + -1 * 2cos * x = 5 + -6cos2(x)

Multiply -1 * 2
4in2sx + -2cos * x = 5 + -6cos2(x)

Multiply cos * x
4in2sx + -2cosx = 5 + -6cos2(x)

Reorder the terms:
-2cosx + 4in2sx = 5 + -6cos2(x)

Multiply cos2 * x
-2cosx + 4in2sx = 5 + -6cos2x

Solving
-2cosx + 4in2sx = 5 + -6cos2x

Solving for variable 'c'.

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

Add '6cos2x' to each side of the equation.
-2cosx + 6cos2x + 4in2sx = 5 + -6cos2x + 6cos2x

Combine like terms: -6cos2x + 6cos2x = 0
-2cosx + 6cos2x + 4in2sx = 5 + 0
-2cosx + 6cos2x + 4in2sx = 5

Add '-4in2sx' to each side of the equation.
-2cosx + 6cos2x + 4in2sx + -4in2sx = 5 + -4in2sx

Combine like terms: 4in2sx + -4in2sx = 0
-2cosx + 6cos2x + 0 = 5 + -4in2sx
-2cosx + 6cos2x = 5 + -4in2sx

Reorder the terms:
-5 + -2cosx + 6cos2x + 4in2sx = 5 + -4in2sx + -5 + 4in2sx

Reorder the terms:
-5 + -2cosx + 6cos2x + 4in2sx = 5 + -5 + -4in2sx + 4in2sx

Combine like terms: 5 + -5 = 0
-5 + -2cosx + 6cos2x + 4in2sx = 0 + -4in2sx + 4in2sx
-5 + -2cosx + 6cos2x + 4in2sx = -4in2sx + 4in2sx

Combine like terms: -4in2sx + 4in2sx = 0
-5 + -2cosx + 6cos2x + 4in2sx = 0

The solution to this equation could not be determined.

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