5sin(x+1)=3sin(x)

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Solution for 5sin(x+1)=3sin(x) equation: 


Simplifying
5sin(x + 1) = 3sin(x)

Reorder the terms:
5ins(1 + x) = 3sin(x)
(1 * 5ins + x * 5ins) = 3sin(x)
(5ins + 5insx) = 3sin(x)

Multiply ins * x
5ins + 5insx = 3insx

Solving
5ins + 5insx = 3insx

Solving for variable 'i'.

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

Add '-3insx' to each side of the equation.
5ins + 5insx + -3insx = 3insx + -3insx

Combine like terms: 5insx + -3insx = 2insx
5ins + 2insx = 3insx + -3insx

Combine like terms: 3insx + -3insx = 0
5ins + 2insx = 0

Factor out the Greatest Common Factor (GCF), 'ins'.
ins(5 + 2x) = 0


Subproblem 1
Set the factor 'ins' equal to zero and attempt to solve:

Simplifying
ins = 0

Solving
ins = 0

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

Simplifying
ins = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Add '-2x' to each side of the equation.
2x + -2x = -5 + -2x

Combine like terms: 2x + -2x = 0
0 = -5 + -2x

Simplifying
0 = -5 + -2x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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