=y(x+y)(3c-k)

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Solution for =y(x+y)(3c-k) equation: 


Simplifying
0 = y(x + y)(3c + -1k)

Multiply (x + y) * (3c + -1k)
0 = y(x(3c + -1k) + y(3c + -1k))
0 = y((3c * x + -1k * x) + y(3c + -1k))
0 = y((3cx + -1kx) + y(3c + -1k))
0 = y(3cx + -1kx + (3c * y + -1k * y))
0 = y(3cx + -1kx + (3cy + -1ky))

Reorder the terms:
0 = y(3cx + 3cy + -1kx + -1ky)
0 = y(3cx + 3cy + -1kx + -1ky)
0 = (3cx * y + 3cy * y + -1kx * y + -1ky * y)
0 = (3cxy + 3cy2 + -1kxy + -1ky2)

Solving
0 = 3cxy + 3cy2 + -1kxy + -1ky2

Solving for variable 'c'.

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

Add '-3cxy' to each side of the equation.
0 + -3cxy = 3cxy + 3cy2 + -1kxy + -3cxy + -1ky2
Remove the zero:
-3cxy = 3cxy + 3cy2 + -1kxy + -3cxy + -1ky2

Reorder the terms:
-3cxy = 3cxy + -3cxy + 3cy2 + -1kxy + -1ky2

Combine like terms: 3cxy + -3cxy = 0
-3cxy = 0 + 3cy2 + -1kxy + -1ky2
-3cxy = 3cy2 + -1kxy + -1ky2

Add '-3cy2' to each side of the equation.
-3cxy + -3cy2 = 3cy2 + -1kxy + -3cy2 + -1ky2

Reorder the terms:
-3cxy + -3cy2 = 3cy2 + -3cy2 + -1kxy + -1ky2

Combine like terms: 3cy2 + -3cy2 = 0
-3cxy + -3cy2 = 0 + -1kxy + -1ky2
-3cxy + -3cy2 = -1kxy + -1ky2

Reorder the terms:
-3cxy + -3cy2 + kxy + ky2 = -1kxy + kxy + -1ky2 + ky2

Combine like terms: -1kxy + kxy = 0
-3cxy + -3cy2 + kxy + ky2 = 0 + -1ky2 + ky2
-3cxy + -3cy2 + kxy + ky2 = -1ky2 + ky2

Combine like terms: -1ky2 + ky2 = 0
-3cxy + -3cy2 + kxy + ky2 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-3cx + -3cy + kx + ky) = 0


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

Simplifying
y = 0

Solving
y = 0

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

Add '-1y' to each side of the equation.
y + -1y = 0 + -1y
Remove the zero:
0 = -1y

Simplifying
0 = -1y

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 '(-3cx + -3cy + kx + ky)' equal to zero and attempt to solve:

Simplifying
-3cx + -3cy + kx + ky = 0

Solving
-3cx + -3cy + kx + ky = 0

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

Add '-1kx' to each side of the equation.
-3cx + -3cy + kx + -1kx + ky = 0 + -1kx

Combine like terms: kx + -1kx = 0
-3cx + -3cy + 0 + ky = 0 + -1kx
-3cx + -3cy + ky = 0 + -1kx
Remove the zero:
-3cx + -3cy + ky = -1kx

Add '-1ky' to each side of the equation.
-3cx + -3cy + ky + -1ky = -1kx + -1ky

Combine like terms: ky + -1ky = 0
-3cx + -3cy + 0 = -1kx + -1ky
-3cx + -3cy = -1kx + -1ky

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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