sin(2x)cos(5x)+cos(2x)sin(5x)=0

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Solution for sin(2x)cos(5x)+cos(2x)sin(5x)=0 equation:


Simplifying
sin(2x) * cos(5x) + cos(2x) * sin(5x) = 0

Remove parenthesis around (2x)
ins * 2x * cos(5x) + cos(2x) * sin(5x) = 0

Remove parenthesis around (5x)
ins * 2x * cos * 5x + cos(2x) * sin(5x) = 0

Reorder the terms for easier multiplication:
2 * 5ins * x * cos * x + cos(2x) * sin(5x) = 0

Multiply 2 * 5
10ins * x * cos * x + cos(2x) * sin(5x) = 0

Multiply ins * x
10insx * cos * x + cos(2x) * sin(5x) = 0

Multiply insx * cos
10cinos2x * x + cos(2x) * sin(5x) = 0

Multiply cinos2x * x
10cinos2x2 + cos(2x) * sin(5x) = 0

Remove parenthesis around (2x)
10cinos2x2 + cos * 2x * sin(5x) = 0

Remove parenthesis around (5x)
10cinos2x2 + cos * 2x * ins * 5x = 0

Reorder the terms for easier multiplication:
10cinos2x2 + 2 * 5cos * x * ins * x = 0

Multiply 2 * 5
10cinos2x2 + 10cos * x * ins * x = 0

Multiply cos * x
10cinos2x2 + 10cosx * ins * x = 0

Multiply cosx * ins
10cinos2x2 + 10cinos2x * x = 0

Multiply cinos2x * x
10cinos2x2 + 10cinos2x2 = 0

Combine like terms: 10cinos2x2 + 10cinos2x2 = 20cinos2x2
20cinos2x2 = 0

Solving
20cinos2x2 = 0

Solving for variable 'c'.

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

Divide each side by '20'.
cinos2x2 = 0.0

Simplifying
cinos2x2 = 0.0

The solution to this equation could not be determined.

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