sin(6x)*sin(6x)*sin(6x)+cos(6x)+cos(6x)+cos(6x)=0

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Solution for sin(6x)*sin(6x)*sin(6x)+cos(6x)+cos(6x)+cos(6x)=0 equation: 


Simplifying
sin(6x) * sin(6x) * sin(6x) + cos(6x) + cos(6x) + cos(6x) = 0

Remove parenthesis around (6x)
ins * 6x * sin(6x) * sin(6x) + cos(6x) + cos(6x) + cos(6x) = 0

Remove parenthesis around (6x)
ins * 6x * ins * 6x * sin(6x) + cos(6x) + cos(6x) + cos(6x) = 0

Remove parenthesis around (6x)
ins * 6x * ins * 6x * ins * 6x + cos(6x) + cos(6x) + cos(6x) = 0

Reorder the terms for easier multiplication:
6 * 6 * 6ins * x * ins * x * ins * x + cos(6x) + cos(6x) + cos(6x) = 0

Multiply 6 * 6
36 * 6ins * x * ins * x * ins * x + cos(6x) + cos(6x) + cos(6x) = 0

Multiply 36 * 6
216ins * x * ins * x * ins * x + cos(6x) + cos(6x) + cos(6x) = 0

Multiply ins * x
216insx * ins * x * ins * x + cos(6x) + cos(6x) + cos(6x) = 0

Multiply insx * ins
216i2n2s2x * x * ins * x + cos(6x) + cos(6x) + cos(6x) = 0

Multiply i2n2s2x * x
216i2n2s2x2 * ins * x + cos(6x) + cos(6x) + cos(6x) = 0

Multiply i2n2s2x2 * ins
216i3n3s3x2 * x + cos(6x) + cos(6x) + cos(6x) = 0

Multiply i3n3s3x2 * x
216i3n3s3x3 + cos(6x) + cos(6x) + cos(6x) = 0

Remove parenthesis around (6x)
216i3n3s3x3 + cos * 6x + cos(6x) + cos(6x) = 0

Reorder the terms for easier multiplication:
216i3n3s3x3 + 6cos * x + cos(6x) + cos(6x) = 0

Multiply cos * x
216i3n3s3x3 + 6cosx + cos(6x) + cos(6x) = 0

Remove parenthesis around (6x)
216i3n3s3x3 + 6cosx + cos * 6x + cos(6x) = 0

Reorder the terms for easier multiplication:
216i3n3s3x3 + 6cosx + 6cos * x + cos(6x) = 0

Multiply cos * x
216i3n3s3x3 + 6cosx + 6cosx + cos(6x) = 0

Remove parenthesis around (6x)
216i3n3s3x3 + 6cosx + 6cosx + cos * 6x = 0

Reorder the terms for easier multiplication:
216i3n3s3x3 + 6cosx + 6cosx + 6cos * x = 0

Multiply cos * x
216i3n3s3x3 + 6cosx + 6cosx + 6cosx = 0

Reorder the terms:
6cosx + 6cosx + 6cosx + 216i3n3s3x3 = 0

Combine like terms: 6cosx + 6cosx = 12cosx
12cosx + 6cosx + 216i3n3s3x3 = 0

Combine like terms: 12cosx + 6cosx = 18cosx
18cosx + 216i3n3s3x3 = 0

Solving
18cosx + 216i3n3s3x3 = 0

Solving for variable 'c'.

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

Add '-216i3n3s3x3' to each side of the equation.
18cosx + 216i3n3s3x3 + -216i3n3s3x3 = 0 + -216i3n3s3x3

Combine like terms: 216i3n3s3x3 + -216i3n3s3x3 = 0
18cosx + 0 = 0 + -216i3n3s3x3
18cosx = 0 + -216i3n3s3x3
Remove the zero:
18cosx = -216i3n3s3x3

Divide each side by '18osx'.
c = -12i3n3o-1s2x2

Simplifying
c = -12i3n3o-1s2x2

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