sin^3(x)-3=(3sin^2(x)+2sin(x)-3)tan(x)

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


Simplifying
sin3(x) + -3 = (3sin2(x) + 2sin(x) + -3) * tan(x)

Multiply in3s * x
in3sx + -3 = (3sin2(x) + 2sin(x) + -3) * tan(x)

Reorder the terms:
-3 + in3sx = (3sin2(x) + 2sin(x) + -3) * tan(x)

Multiply in2s * x
-3 + in3sx = (3in2sx + 2sin(x) + -3) * tan(x)

Multiply ins * x
-3 + in3sx = (3in2sx + 2insx + -3) * tan(x)

Reorder the terms:
-3 + in3sx = (-3 + 2insx + 3in2sx) * tan(x)

Reorder the terms for easier multiplication:
-3 + in3sx = ant * x(-3 + 2insx + 3in2sx)

Multiply ant * x
-3 + in3sx = antx(-3 + 2insx + 3in2sx)
-3 + in3sx = (-3 * antx + 2insx * antx + 3in2sx * antx)

Reorder the terms:
-3 + in3sx = (2ain2stx2 + 3ain3stx2 + -3antx)
-3 + in3sx = (2ain2stx2 + 3ain3stx2 + -3antx)

Solving
-3 + in3sx = 2ain2stx2 + 3ain3stx2 + -3antx

Solving for variable 'i'.

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

Add '-2ain2stx2' to each side of the equation.
-3 + -2ain2stx2 + in3sx = 2ain2stx2 + 3ain3stx2 + -2ain2stx2 + -3antx

Reorder the terms:
-3 + -2ain2stx2 + in3sx = 2ain2stx2 + -2ain2stx2 + 3ain3stx2 + -3antx

Combine like terms: 2ain2stx2 + -2ain2stx2 = 0
-3 + -2ain2stx2 + in3sx = 0 + 3ain3stx2 + -3antx
-3 + -2ain2stx2 + in3sx = 3ain3stx2 + -3antx

Add '-3ain3stx2' to each side of the equation.
-3 + -2ain2stx2 + -3ain3stx2 + in3sx = 3ain3stx2 + -3ain3stx2 + -3antx

Combine like terms: 3ain3stx2 + -3ain3stx2 = 0
-3 + -2ain2stx2 + -3ain3stx2 + in3sx = 0 + -3antx
-3 + -2ain2stx2 + -3ain3stx2 + in3sx = -3antx

Add '3' to each side of the equation.
-3 + -2ain2stx2 + -3ain3stx2 + 3 + in3sx = 3 + -3antx

Reorder the terms:
-3 + 3 + -2ain2stx2 + -3ain3stx2 + in3sx = 3 + -3antx

Combine like terms: -3 + 3 = 0
0 + -2ain2stx2 + -3ain3stx2 + in3sx = 3 + -3antx
-2ain2stx2 + -3ain3stx2 + in3sx = 3 + -3antx

Reorder the terms:
-3 + -2ain2stx2 + -3ain3stx2 + 3antx + in3sx = 3 + -3antx + -3 + 3antx

Reorder the terms:
-3 + -2ain2stx2 + -3ain3stx2 + 3antx + in3sx = 3 + -3 + -3antx + 3antx

Combine like terms: 3 + -3 = 0
-3 + -2ain2stx2 + -3ain3stx2 + 3antx + in3sx = 0 + -3antx + 3antx
-3 + -2ain2stx2 + -3ain3stx2 + 3antx + in3sx = -3antx + 3antx

Combine like terms: -3antx + 3antx = 0
-3 + -2ain2stx2 + -3ain3stx2 + 3antx + in3sx = 0

The solution to this equation could not be determined.

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