2*sin(x)*cos(x)*cos(x)+(sin^2(x)+2)*sin(x)=0

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


Simplifying
2sin(x) * cos(x) * cos(x) + (sin2(x) + 2) * sin(x) = 0

Multiply ins * x
2insx * cos * x * cos * x + (sin2(x) + 2) * sin(x) = 0

Multiply insx * cos
2cinos2x * x * cos * x + (sin2(x) + 2) * sin(x) = 0

Multiply cinos2x * x
2cinos2x2 * cos * x + (sin2(x) + 2) * sin(x) = 0

Multiply cinos2x2 * cos
2c2ino2s3x2 * x + (sin2(x) + 2) * sin(x) = 0

Multiply c2ino2s3x2 * x
2c2ino2s3x3 + (sin2(x) + 2) * sin(x) = 0

Multiply in2s * x
2c2ino2s3x3 + (in2sx + 2) * sin(x) = 0

Reorder the terms:
2c2ino2s3x3 + (2 + in2sx) * sin(x) = 0

Reorder the terms for easier multiplication:
2c2ino2s3x3 + ins * x(2 + in2sx) = 0

Multiply ins * x
2c2ino2s3x3 + insx(2 + in2sx) = 0
2c2ino2s3x3 + (2 * insx + in2sx * insx) = 0
2c2ino2s3x3 + (2insx + i2n3s2x2) = 0

Solving
2c2ino2s3x3 + 2insx + i2n3s2x2 = 0

Solving for variable 'c'.

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

Add '-2insx' to each side of the equation.
2c2ino2s3x3 + 2insx + -2insx + i2n3s2x2 = 0 + -2insx

Combine like terms: 2insx + -2insx = 0
2c2ino2s3x3 + 0 + i2n3s2x2 = 0 + -2insx
2c2ino2s3x3 + i2n3s2x2 = 0 + -2insx
Remove the zero:
2c2ino2s3x3 + i2n3s2x2 = -2insx

Add '-1i2n3s2x2' to each side of the equation.
2c2ino2s3x3 + i2n3s2x2 + -1i2n3s2x2 = -2insx + -1i2n3s2x2

Combine like terms: i2n3s2x2 + -1i2n3s2x2 = 0
2c2ino2s3x3 + 0 = -2insx + -1i2n3s2x2
2c2ino2s3x3 = -2insx + -1i2n3s2x2

Divide each side by '2ino2s3x3'.
c2 = -1o-2s-2x-2 + -0.5in2o-2s-1x-1

Simplifying
c2 = -1o-2s-2x-2 + -0.5in2o-2s-1x-1

Reorder the terms:
c2 = -0.5in2o-2s-1x-1 + -1o-2s-2x-2

Reorder the terms:
c2 + 0.5in2o-2s-1x-1 + o-2s-2x-2 = -0.5in2o-2s-1x-1 + 0.5in2o-2s-1x-1 + -1o-2s-2x-2 + o-2s-2x-2

Combine like terms: -0.5in2o-2s-1x-1 + 0.5in2o-2s-1x-1 = 0.0
c2 + 0.5in2o-2s-1x-1 + o-2s-2x-2 = 0.0 + -1o-2s-2x-2 + o-2s-2x-2
c2 + 0.5in2o-2s-1x-1 + o-2s-2x-2 = -1o-2s-2x-2 + o-2s-2x-2

Combine like terms: -1o-2s-2x-2 + o-2s-2x-2 = 0
c2 + 0.5in2o-2s-1x-1 + o-2s-2x-2 = 0

The solution to this equation could not be determined.

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