(cosine)(3x)(cosine)(2x)-(sine)(3x)(sine)(2x)=0.5

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Solution for (cosine)(3x)(cosine)(2x)-(sine)(3x)(sine)(2x)=0.5 equation:


Simplifying
(cosine)(3x)(cosine)(2x) + -1(sine)(3x)(sine)(2x) = 0.5

Remove parenthesis around (3x)
ceinos * 3x(cosine)(2x) + -1(sine)(3x)(sine)(2x) = 0.5

Remove parenthesis around (2x)
ceinos * 3x * ceinos * 2x + -1(sine)(3x)(sine)(2x) = 0.5

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

Multiply 3 * 2
6ceinos * x * ceinos * x + -1(sine)(3x)(sine)(2x) = 0.5

Multiply ceinos * x
6ceinosx * ceinos * x + -1(sine)(3x)(sine)(2x) = 0.5

Multiply ceinosx * ceinos
6c2e2i2n2o2s2x * x + -1(sine)(3x)(sine)(2x) = 0.5

Multiply c2e2i2n2o2s2x * x
6c2e2i2n2o2s2x2 + -1(sine)(3x)(sine)(2x) = 0.5

Remove parenthesis around (3x)
6c2e2i2n2o2s2x2 + -1eins * 3x(sine)(2x) = 0.5

Remove parenthesis around (2x)
6c2e2i2n2o2s2x2 + -1eins * 3x * eins * 2x = 0.5

Reorder the terms for easier multiplication:
6c2e2i2n2o2s2x2 + -1 * 3 * 2eins * x * eins * x = 0.5

Multiply -1 * 3
6c2e2i2n2o2s2x2 + -3 * 2eins * x * eins * x = 0.5

Multiply -3 * 2
6c2e2i2n2o2s2x2 + -6eins * x * eins * x = 0.5

Multiply eins * x
6c2e2i2n2o2s2x2 + -6einsx * eins * x = 0.5

Multiply einsx * eins
6c2e2i2n2o2s2x2 + -6e2i2n2s2x * x = 0.5

Multiply e2i2n2s2x * x
6c2e2i2n2o2s2x2 + -6e2i2n2s2x2 = 0.5

Solving
6c2e2i2n2o2s2x2 + -6e2i2n2s2x2 = 0.5

Solving for variable 'c'.

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

Add '6e2i2n2s2x2' to each side of the equation.
6c2e2i2n2o2s2x2 + -6e2i2n2s2x2 + 6e2i2n2s2x2 = 0.5 + 6e2i2n2s2x2

Combine like terms: -6e2i2n2s2x2 + 6e2i2n2s2x2 = 0
6c2e2i2n2o2s2x2 + 0 = 0.5 + 6e2i2n2s2x2
6c2e2i2n2o2s2x2 = 0.5 + 6e2i2n2s2x2

Divide each side by '6e2i2n2o2s2x2'.
c2 = 0.08333333333e-2i-2n-2o-2s-2x-2 + o-2

Simplifying
c2 = 0.08333333333e-2i-2n-2o-2s-2x-2 + o-2

Reorder the terms:
c2 + -0.08333333333e-2i-2n-2o-2s-2x-2 + -1o-2 = 0.08333333333e-2i-2n-2o-2s-2x-2 + -0.08333333333e-2i-2n-2o-2s-2x-2 + o-2 + -1o-2

Combine like terms: 0.08333333333e-2i-2n-2o-2s-2x-2 + -0.08333333333e-2i-2n-2o-2s-2x-2 = 0.00000000000
c2 + -0.08333333333e-2i-2n-2o-2s-2x-2 + -1o-2 = 0.00000000000 + o-2 + -1o-2
c2 + -0.08333333333e-2i-2n-2o-2s-2x-2 + -1o-2 = o-2 + -1o-2

Combine like terms: o-2 + -1o-2 = 0
c2 + -0.08333333333e-2i-2n-2o-2s-2x-2 + -1o-2 = 0

The solution to this equation could not be determined.

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