8=4sinx(5x)

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Solution for 8=4sinx(5x) equation:


Simplifying
8 = 4sinx(5x)

Remove parenthesis around (5x)
8 = 4insx * 5x

Reorder the terms for easier multiplication:
8 = 4 * 5insx * x

Multiply 4 * 5
8 = 20insx * x

Multiply insx * x
8 = 20insx2

Solving
8 = 20insx2

Solving for variable 'i'.

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

Add '-20insx2' to each side of the equation.
8 + -20insx2 = 20insx2 + -20insx2

Combine like terms: 20insx2 + -20insx2 = 0
8 + -20insx2 = 0

Add '-8' to each side of the equation.
8 + -8 + -20insx2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -20insx2 = 0 + -8
-20insx2 = 0 + -8

Combine like terms: 0 + -8 = -8
-20insx2 = -8

Divide each side by '-20nsx2'.
i = 0.4n-1s-1x-2

Simplifying
i = 0.4n-1s-1x-2

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