3-6sin^2x=8sinx*cosx

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Solution for 3-6sin^2x=8sinx*cosx equation:


Simplifying
3 + -6sin2x = 8sinx * cosx

Multiply insx * cosx
3 + -6in2sx = 8cinos2x2

Solving
3 + -6in2sx = 8cinos2x2

Solving for variable 'i'.

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

Add '-8cinos2x2' to each side of the equation.
3 + -8cinos2x2 + -6in2sx = 8cinos2x2 + -8cinos2x2

Combine like terms: 8cinos2x2 + -8cinos2x2 = 0
3 + -8cinos2x2 + -6in2sx = 0

Add '-3' to each side of the equation.
3 + -8cinos2x2 + -3 + -6in2sx = 0 + -3

Reorder the terms:
3 + -3 + -8cinos2x2 + -6in2sx = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8cinos2x2 + -6in2sx = 0 + -3
-8cinos2x2 + -6in2sx = 0 + -3

Combine like terms: 0 + -3 = -3
-8cinos2x2 + -6in2sx = -3

Reorder the terms:
3 + -8cinos2x2 + -6in2sx = -3 + 3

Combine like terms: -3 + 3 = 0
3 + -8cinos2x2 + -6in2sx = 0

The solution to this equation could not be determined.

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