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

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


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

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

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

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

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

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

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

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

Multiply 10 * 5
2insx + 50ins * x * cos * x = 0

Multiply ins * x
2insx + 50insx * cos * x = 0

Multiply insx * cos
2insx + 50cinos2x * x = 0

Multiply cinos2x * x
2insx + 50cinos2x2 = 0

Reorder the terms:
50cinos2x2 + 2insx = 0

Solving
50cinos2x2 + 2insx = 0

Solving for variable 'c'.

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

Add '-2insx' to each side of the equation.
50cinos2x2 + 2insx + -2insx = 0 + -2insx

Combine like terms: 2insx + -2insx = 0
50cinos2x2 + 0 = 0 + -2insx
50cinos2x2 = 0 + -2insx
Remove the zero:
50cinos2x2 = -2insx

Divide each side by '50inos2x2'.
c = -0.04o-1s-1x-1

Simplifying
c = -0.04o-1s-1x-1

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