r(y-5)+z(y-5)=

Solution for r(y-5)+z(y-5)= equation:

Simplifying
r(y + -5) + z(y + -5) = 0

Reorder the terms:
r(-5 + y) + z(y + -5) = 0
(-5 * r + y * r) + z(y + -5) = 0
(-5r + ry) + z(y + -5) = 0

Reorder the terms:
-5r + ry + z(-5 + y) = 0
-5r + ry + (-5 * z + y * z) = 0

Reorder the terms:
-5r + ry + (yz + -5z) = 0
-5r + ry + (yz + -5z) = 0

Solving
-5r + ry + yz + -5z = 0

Solving for variable 'r'.

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

Add '-1yz' to each side of the equation.
-5r + ry + yz + -1yz + -5z = 0 + -1yz

Combine like terms: yz + -1yz = 0
-5r + ry + 0 + -5z = 0 + -1yz
-5r + ry + -5z = 0 + -1yz
Remove the zero:
-5r + ry + -5z = -1yz

Add '5z' to each side of the equation.
-5r + ry + -5z + 5z = -1yz + 5z

Combine like terms: -5z + 5z = 0
-5r + ry + 0 = -1yz + 5z
-5r + ry = -1yz + 5z

Reorder the terms:
-5r + ry + yz + -5z = -1yz + yz + 5z + -5z

Combine like terms: -1yz + yz = 0
-5r + ry + yz + -5z = 0 + 5z + -5z
-5r + ry + yz + -5z = 5z + -5z

Combine like terms: 5z + -5z = 0
-5r + ry + yz + -5z = 0

The solution to this equation could not be determined.