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

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


Simplifying
3cos(2x) + 2sin2(x) + -2 = 0

Remove parenthesis around (2x)
3cos * 2x + 2sin2(x) + -2 = 0

Reorder the terms for easier multiplication:
3 * 2cos * x + 2sin2(x) + -2 = 0

Multiply 3 * 2
6cos * x + 2sin2(x) + -2 = 0

Multiply cos * x
6cosx + 2sin2(x) + -2 = 0

Multiply in2s * x
6cosx + 2in2sx + -2 = 0

Reorder the terms:
-2 + 6cosx + 2in2sx = 0

Solving
-2 + 6cosx + 2in2sx = 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 + 2in2sx = 0 + 2

Reorder the terms:
-2 + 2 + 6cosx + 2in2sx = 0 + 2

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

Combine like terms: 0 + 2 = 2
6cosx + 2in2sx = 2

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

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

Divide each side by '6osx'.
c = 0.3333333333o-1s-1x-1 + -0.3333333333in2o-1

Simplifying
c = 0.3333333333o-1s-1x-1 + -0.3333333333in2o-1

Reorder the terms:
c = -0.3333333333in2o-1 + 0.3333333333o-1s-1x-1

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