sin(8t)=tsin(8t)

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Solution for sin(8t)=tsin(8t) equation: 


Simplifying
sin(8t) = tsin(8t)

Remove parenthesis around (8t)
ins * 8t = tsin(8t)

Reorder the terms for easier multiplication:
8ins * t = tsin(8t)

Multiply ins * t
8inst = tsin(8t)

Remove parenthesis around (8t)
8inst = inst * 8t

Reorder the terms for easier multiplication:
8inst = 8inst * t

Multiply inst * t
8inst = 8inst2

Solving
8inst = 8inst2

Solving for variable 'i'.

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

Add '-8inst2' to each side of the equation.
8inst + -8inst2 = 8inst2 + -8inst2

Combine like terms: 8inst2 + -8inst2 = 0
8inst + -8inst2 = 0

Factor out the Greatest Common Factor (GCF), '8inst'.
8inst(1 + -1t) = 0

Ignore the factor 8.

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

Simplifying
inst = 0

Solving
inst = 0

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

Simplifying
inst = 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 '(1 + -1t)' equal to zero and attempt to solve:

Simplifying
1 + -1t = 0

Solving
1 + -1t = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1t = 0 + -1
-1t = 0 + -1

Combine like terms: 0 + -1 = -1
-1t = -1

Add 't' to each side of the equation.
-1t + t = -1 + t

Combine like terms: -1t + t = 0
0 = -1 + t

Simplifying
0 = -1 + t

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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