cos(3x+15)sec(35-x)=x-4

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Solution for cos(3x+15)sec(35-x)=x-4 equation: 


Simplifying
cos(3x + 15) * sec(35 + -1x) = x + -4

Reorder the terms:
cos(15 + 3x) * sec(35 + -1x) = x + -4

Reorder the terms for easier multiplication:
cos * ces(15 + 3x)(35 + -1x) = x + -4

Multiply cos * ces
c2eos2(15 + 3x)(35 + -1x) = x + -4

Multiply (15 + 3x) * (35 + -1x)
c2eos2(15(35 + -1x) + 3x * (35 + -1x)) = x + -4
c2eos2((35 * 15 + -1x * 15) + 3x * (35 + -1x)) = x + -4
c2eos2((525 + -15x) + 3x * (35 + -1x)) = x + -4
c2eos2(525 + -15x + (35 * 3x + -1x * 3x)) = x + -4
c2eos2(525 + -15x + (105x + -3x2)) = x + -4

Combine like terms: -15x + 105x = 90x
c2eos2(525 + 90x + -3x2) = x + -4
(525 * c2eos2 + 90x * c2eos2 + -3x2 * c2eos2) = x + -4
(525c2eos2 + 90c2eos2x + -3c2eos2x2) = x + -4

Reorder the terms:
525c2eos2 + 90c2eos2x + -3c2eos2x2 = -4 + x

Solving
525c2eos2 + 90c2eos2x + -3c2eos2x2 = -4 + x

Solving for variable 'c'.

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

Reorder the terms:
4 + 525c2eos2 + 90c2eos2x + -3c2eos2x2 + -1x = -4 + x + 4 + -1x

Reorder the terms:
4 + 525c2eos2 + 90c2eos2x + -3c2eos2x2 + -1x = -4 + 4 + x + -1x

Combine like terms: -4 + 4 = 0
4 + 525c2eos2 + 90c2eos2x + -3c2eos2x2 + -1x = 0 + x + -1x
4 + 525c2eos2 + 90c2eos2x + -3c2eos2x2 + -1x = x + -1x

Combine like terms: x + -1x = 0
4 + 525c2eos2 + 90c2eos2x + -3c2eos2x2 + -1x = 0

The solution to this equation could not be determined.

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