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

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


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

Remove parenthesis around (2x)
3in2s * 2x + 2xcos(2x) + -2 = 0

Reorder the terms for easier multiplication:
3 * 2in2s * x + 2xcos(2x) + -2 = 0

Multiply 3 * 2
6in2s * x + 2xcos(2x) + -2 = 0

Multiply in2s * x
6in2sx + 2xcos(2x) + -2 = 0

Remove parenthesis around (2x)
6in2sx + 2cosx * 2x + -2 = 0

Reorder the terms for easier multiplication:
6in2sx + 2 * 2cosx * x + -2 = 0

Multiply 2 * 2
6in2sx + 4cosx * x + -2 = 0

Multiply cosx * x
6in2sx + 4cosx2 + -2 = 0

Reorder the terms:
-2 + 4cosx2 + 6in2sx = 0

Solving
-2 + 4cosx2 + 6in2sx = 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 + 4cosx2 + 2 + 6in2sx = 0 + 2

Reorder the terms:
-2 + 2 + 4cosx2 + 6in2sx = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 4cosx2 + 6in2sx = 0 + 2
4cosx2 + 6in2sx = 0 + 2

Combine like terms: 0 + 2 = 2
4cosx2 + 6in2sx = 2

Add '-6in2sx' to each side of the equation.
4cosx2 + 6in2sx + -6in2sx = 2 + -6in2sx

Combine like terms: 6in2sx + -6in2sx = 0
4cosx2 + 0 = 2 + -6in2sx
4cosx2 = 2 + -6in2sx

Divide each side by '4osx2'.
c = 0.5o-1s-1x-2 + -1.5in2o-1x-1

Simplifying
c = 0.5o-1s-1x-2 + -1.5in2o-1x-1

Reorder the terms:
c = -1.5in2o-1x-1 + 0.5o-1s-1x-2

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