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

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


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

Multiply a * x
ax = sin(x) + sin(5x) + sin(7x)

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

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

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

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

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

Reorder the terms for easier multiplication:
ax = insx + 5insx + 7ins * x

Multiply ins * x
ax = insx + 5insx + 7insx

Combine like terms: insx + 5insx = 6insx
ax = 6insx + 7insx

Combine like terms: 6insx + 7insx = 13insx
ax = 13insx

Solving
ax = 13insx

Solving for variable 'a'.

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

Divide each side by 'x'.
a = 13ins

Simplifying
a = 13ins

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