sin(3x)+sin(7x)=5sin(5x)

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Solution for sin(3x)+sin(7x)=5sin(5x) equation:


Simplifying
sin(3x) + sin(7x) = 5sin(5x)

Remove parenthesis around (3x)
ins * 3x + sin(7x) = 5sin(5x)

Reorder the terms for easier multiplication:
3ins * x + sin(7x) = 5sin(5x)

Multiply ins * x
3insx + sin(7x) = 5sin(5x)

Remove parenthesis around (7x)
3insx + ins * 7x = 5sin(5x)

Reorder the terms for easier multiplication:
3insx + 7ins * x = 5sin(5x)

Multiply ins * x
3insx + 7insx = 5sin(5x)

Combine like terms: 3insx + 7insx = 10insx
10insx = 5sin(5x)

Remove parenthesis around (5x)
10insx = 5ins * 5x

Reorder the terms for easier multiplication:
10insx = 5 * 5ins * x

Multiply 5 * 5
10insx = 25ins * x

Multiply ins * x
10insx = 25insx

Solving
10insx = 25insx

Solving for variable 'i'.

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

Add '-25insx' to each side of the equation.
10insx + -25insx = 25insx + -25insx

Combine like terms: 10insx + -25insx = -15insx
-15insx = 25insx + -25insx

Combine like terms: 25insx + -25insx = 0
-15insx = 0

Divide each side by '-15'.
insx = 0

Simplifying
insx = 0

The solution to this equation could not be determined.

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