(cos)(3x)(cos)(2x)-(sin)(3x)(sin)(2x)=0.5

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Solution for (cos)(3x)(cos)(2x)-(sin)(3x)(sin)(2x)=0.5 equation: 


Simplifying
(cos)(3x)(cos)(2x) + -1(sin)(3x)(sin)(2x) = 0.5

Remove parenthesis around (3x)
cos * 3x(cos)(2x) + -1(sin)(3x)(sin)(2x) = 0.5

Remove parenthesis around (2x)
cos * 3x * cos * 2x + -1(sin)(3x)(sin)(2x) = 0.5

Reorder the terms for easier multiplication:
3 * 2cos * x * cos * x + -1(sin)(3x)(sin)(2x) = 0.5

Multiply 3 * 2
6cos * x * cos * x + -1(sin)(3x)(sin)(2x) = 0.5

Multiply cos * x
6cosx * cos * x + -1(sin)(3x)(sin)(2x) = 0.5

Multiply cosx * cos
6c2o2s2x * x + -1(sin)(3x)(sin)(2x) = 0.5

Multiply c2o2s2x * x
6c2o2s2x2 + -1(sin)(3x)(sin)(2x) = 0.5

Remove parenthesis around (3x)
6c2o2s2x2 + -1ins * 3x(sin)(2x) = 0.5

Remove parenthesis around (2x)
6c2o2s2x2 + -1ins * 3x * ins * 2x = 0.5

Reorder the terms for easier multiplication:
6c2o2s2x2 + -1 * 3 * 2ins * x * ins * x = 0.5

Multiply -1 * 3
6c2o2s2x2 + -3 * 2ins * x * ins * x = 0.5

Multiply -3 * 2
6c2o2s2x2 + -6ins * x * ins * x = 0.5

Multiply ins * x
6c2o2s2x2 + -6insx * ins * x = 0.5

Multiply insx * ins
6c2o2s2x2 + -6i2n2s2x * x = 0.5

Multiply i2n2s2x * x
6c2o2s2x2 + -6i2n2s2x2 = 0.5

Solving
6c2o2s2x2 + -6i2n2s2x2 = 0.5

Solving for variable 'c'.

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

Add '6i2n2s2x2' to each side of the equation.
6c2o2s2x2 + -6i2n2s2x2 + 6i2n2s2x2 = 0.5 + 6i2n2s2x2

Combine like terms: -6i2n2s2x2 + 6i2n2s2x2 = 0
6c2o2s2x2 + 0 = 0.5 + 6i2n2s2x2
6c2o2s2x2 = 0.5 + 6i2n2s2x2

Divide each side by '6o2s2x2'.
c2 = 0.08333333333o-2s-2x-2 + i2n2o-2

Simplifying
c2 = 0.08333333333o-2s-2x-2 + i2n2o-2

Reorder the terms:
c2 = i2n2o-2 + 0.08333333333o-2s-2x-2

Reorder the terms:
c2 + -1i2n2o-2 + -0.08333333333o-2s-2x-2 = i2n2o-2 + -1i2n2o-2 + 0.08333333333o-2s-2x-2 + -0.08333333333o-2s-2x-2

Combine like terms: i2n2o-2 + -1i2n2o-2 = 0
c2 + -1i2n2o-2 + -0.08333333333o-2s-2x-2 = 0 + 0.08333333333o-2s-2x-2 + -0.08333333333o-2s-2x-2
c2 + -1i2n2o-2 + -0.08333333333o-2s-2x-2 = 0.08333333333o-2s-2x-2 + -0.08333333333o-2s-2x-2

Combine like terms: 0.08333333333o-2s-2x-2 + -0.08333333333o-2s-2x-2 = 0.00000000000
c2 + -1i2n2o-2 + -0.08333333333o-2s-2x-2 = 0.00000000000

The solution to this equation could not be determined.

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