(6sin^5x*cos^3x)-(2cosx*sin^7x)=0

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Solution for (6sin^5x*cos^3x)-(2cosx*sin^7x)=0 equation: 


Simplifying
(6sin5x * cos3x) + -1(2cosx * sin7x) = 0

Multiply in5sx * cos3x
(6cin5os4x2) + -1(2cosx * sin7x) = 0

Multiply cosx * in7sx
(6cin5os4x2) + -1(2cin7os2x2) = 0

Remove parenthesis around (2cin7os2x2)
(6cin5os4x2) + -1 * 2cin7os2x2 = 0

Multiply -1 * 2
(6cin5os4x2) + -2cin7os2x2 = 0

Solving
(6cin5os4x2) + -2cin7os2x2 = 0

Solving for variable 'c'.

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

Factor out the Greatest Common Factor (GCF), '2cin5os2x2'.
2cin5os2x2((3s2) + -1n2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'cin5os2x2' equal to zero and attempt to solve:

Simplifying
cin5os2x2 = 0

Solving
cin5os2x2 = 0

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

Simplifying
cin5os2x2 = 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 '((3s2) + -1n2)' equal to zero and attempt to solve:

Simplifying
(3s2) + -1n2 = 0

Reorder the terms:
-1n2 + (3s2) = 0

Solving
-1n2 + (3s2) = 0

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

Add 'n2' to each side of the equation.
-1n2 + n2 + (3s2) = 0 + n2

Combine like terms: -1n2 + n2 = 0
0 + (3s2) = 0 + n2
(3s2) = 0 + n2
Remove the zero:
(3s2) = n2

Add '(-3s2)' to each side of the equation.
(3s2) + (-3s2) = n2 + (-3s2)

Combine like terms: (3s2) + (-3s2) = 0
0 = n2 + (-3s2)

Simplifying
0 = n2 + (-3s2)

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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