(7sinx+9)(2cosx+1)=0

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Solution for (7sinx+9)(2cosx+1)=0 equation: 


Simplifying
(7sinx + 9)(2cosx + 1) = 0

Reorder the terms:
(9 + 7insx)(2cosx + 1) = 0

Reorder the terms:
(9 + 7insx)(1 + 2cosx) = 0

Multiply (9 + 7insx) * (1 + 2cosx)
(9(1 + 2cosx) + 7insx * (1 + 2cosx)) = 0
((1 * 9 + 2cosx * 9) + 7insx * (1 + 2cosx)) = 0
((9 + 18cosx) + 7insx * (1 + 2cosx)) = 0
(9 + 18cosx + (1 * 7insx + 2cosx * 7insx)) = 0

Reorder the terms:
(9 + 18cosx + (14cinos2x2 + 7insx)) = 0
(9 + 18cosx + (14cinos2x2 + 7insx)) = 0

Reorder the terms:
(9 + 14cinos2x2 + 18cosx + 7insx) = 0
(9 + 14cinos2x2 + 18cosx + 7insx) = 0

Solving
9 + 14cinos2x2 + 18cosx + 7insx = 0

Solving for variable 'c'.

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

Add '-9' to each side of the equation.
9 + 14cinos2x2 + 18cosx + -9 + 7insx = 0 + -9

Reorder the terms:
9 + -9 + 14cinos2x2 + 18cosx + 7insx = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 14cinos2x2 + 18cosx + 7insx = 0 + -9
14cinos2x2 + 18cosx + 7insx = 0 + -9

Combine like terms: 0 + -9 = -9
14cinos2x2 + 18cosx + 7insx = -9

Add '-7insx' to each side of the equation.
14cinos2x2 + 18cosx + 7insx + -7insx = -9 + -7insx

Combine like terms: 7insx + -7insx = 0
14cinos2x2 + 18cosx + 0 = -9 + -7insx
14cinos2x2 + 18cosx = -9 + -7insx

Reorder the terms:
9 + 14cinos2x2 + 18cosx + 7insx = -9 + -7insx + 9 + 7insx

Reorder the terms:
9 + 14cinos2x2 + 18cosx + 7insx = -9 + 9 + -7insx + 7insx

Combine like terms: -9 + 9 = 0
9 + 14cinos2x2 + 18cosx + 7insx = 0 + -7insx + 7insx
9 + 14cinos2x2 + 18cosx + 7insx = -7insx + 7insx

Combine like terms: -7insx + 7insx = 0
9 + 14cinos2x2 + 18cosx + 7insx = 0

The solution to this equation could not be determined.

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