sin(3x+30)=sin(2x)

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Solution for sin(3x+30)=sin(2x) equation: 


Simplifying
sin(3x + 30) = sin(2x)

Reorder the terms:
ins(30 + 3x) = sin(2x)
(30 * ins + 3x * ins) = sin(2x)
(30ins + 3insx) = sin(2x)

Remove parenthesis around (2x)
30ins + 3insx = ins * 2x

Reorder the terms for easier multiplication:
30ins + 3insx = 2ins * x

Multiply ins * x
30ins + 3insx = 2insx

Solving
30ins + 3insx = 2insx

Solving for variable 'i'.

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

Add '-2insx' to each side of the equation.
30ins + 3insx + -2insx = 2insx + -2insx

Combine like terms: 3insx + -2insx = 1insx
30ins + 1insx = 2insx + -2insx

Combine like terms: 2insx + -2insx = 0
30ins + 1insx = 0

Factor out the Greatest Common Factor (GCF), 'ins'.
ins(30 + x) = 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 '(30 + x)' equal to zero and attempt to solve:

Simplifying
30 + x = 0

Solving
30 + x = 0

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

Add '-30' to each side of the equation.
30 + -30 + x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + x = 0 + -30
x = 0 + -30

Combine like terms: 0 + -30 = -30
x = -30

Add '-1x' to each side of the equation.
x + -1x = -30 + -1x

Combine like terms: x + -1x = 0
0 = -30 + -1x

Simplifying
0 = -30 + -1x

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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