yk+yq=kfory

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Solution for yk+yq=kfory equation: 


Simplifying
yk + yq = kfory

Solving
ky + qy = fkory

Solving for variable 'k'.

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

Add '-1fkory' to each side of the equation.
ky + -1fkory + qy = fkory + -1fkory

Reorder the terms:
-1fkory + ky + qy = fkory + -1fkory

Combine like terms: fkory + -1fkory = 0
-1fkory + ky + qy = 0

Add '-1qy' to each side of the equation.
-1fkory + ky + qy + -1qy = 0 + -1qy

Combine like terms: qy + -1qy = 0
-1fkory + ky + 0 = 0 + -1qy
-1fkory + ky = 0 + -1qy
Remove the zero:
-1fkory + ky = -1qy

Combine like terms: -1qy + qy = 0
-1fkory + ky + qy = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-1fkor + k + q) = 0


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

Simplifying
y = 0

Solving
y = 0

Move all terms containing k 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 '(-1fkor + k + q)' equal to zero and attempt to solve:

Simplifying
-1fkor + k + q = 0

Solving
-1fkor + k + q = 0

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

Add '-1q' to each side of the equation.
-1fkor + k + q + -1q = 0 + -1q

Combine like terms: q + -1q = 0
-1fkor + k + 0 = 0 + -1q
-1fkor + k = 0 + -1q
Remove the zero:
-1fkor + k = -1q

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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