3x=sin(pi*x)

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Solution for 3x=sin(pi*x) equation: 


Simplifying
3x = sin(pi * x)

Multiply ip * x
3x = ins(ipx)

Multiply ins * ipx
3x = i2npsx

Solving
3x = i2npsx

Solving for variable 'x'.

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

Add '-1i2npsx' to each side of the equation.
-1i2npsx + 3x = i2npsx + -1i2npsx

Combine like terms: i2npsx + -1i2npsx = 0
-1i2npsx + 3x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1i2nps + 3) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-1i2nps + 3)' equal to zero and attempt to solve:

Simplifying
-1i2nps + 3 = 0

Reorder the terms:
3 + -1i2nps = 0

Solving
3 + -1i2nps = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1i2nps = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1i2nps = 0 + -3
-1i2nps = 0 + -3

Combine like terms: 0 + -3 = -3
-1i2nps = -3

Add 'i2nps' to each side of the equation.
-1i2nps + i2nps = -3 + i2nps

Combine like terms: -1i2nps + i2nps = 0
0 = -3 + i2nps

Simplifying
0 = -3 + i2nps

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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