-sin((pi)(x))=3cos((pi)(x))

Solution for -sin((pi)(x))=3cos((pi)(x)) equation:

Simplifying
-1sin((pi)(x)) = 3cos((pi)(x))

Multiply ip * x
-1ins(ipx) = 3cos((pi)(x))

Multiply ins * ipx
-1i2npsx = 3cos((pi)(x))

Multiply ip * x
-1i2npsx = 3cos(ipx)

Multiply cos * ipx
-1i2npsx = 3ciopsx

Solving
-1i2npsx = 3ciopsx

Solving for variable 'i'.

Reorder the terms:
-3ciopsx + -1i2npsx = 3ciopsx + -3ciopsx

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

Factor out the Greatest Common Factor (GCF), '-1ipsx'.
-1ipsx(3co + in) = 0

Ignore the factor -1.
Subproblem 1
Set the factor 'ipsx' equal to zero and attempt to solve:

Simplifying
ipsx = 0

Solving
ipsx = 0

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

Simplifying
ipsx = 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 '(3co + in)' equal to zero and attempt to solve:

Simplifying
3co + in = 0

Solving
3co + in = 0

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

Add '-3co' to each side of the equation.
3co + -3co + in = 0 + -3co

Combine like terms: 3co + -3co = 0
0 + in = 0 + -3co
in = 0 + -3co
Remove the zero:
in = -3co

Divide each side by 'n'.
i = -3cn-1o

Simplifying
i = -3cn-1o
Solution
i = {-3cn-1o}