a(b-5)+z(b-5)=

Solution for a(b-5)+z(b-5)= equation:

Simplifying
a(b + -5) + z(b + -5) = 0

Reorder the terms:
a(-5 + b) + z(b + -5) = 0
(-5 * a + b * a) + z(b + -5) = 0
(-5a + ab) + z(b + -5) = 0

Reorder the terms:
-5a + ab + z(-5 + b) = 0
-5a + ab + (-5 * z + b * z) = 0

Reorder the terms:
-5a + ab + (bz + -5z) = 0
-5a + ab + (bz + -5z) = 0

Solving
-5a + ab + bz + -5z = 0

Solving for variable 'a'.

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

Add '-1bz' to each side of the equation.
-5a + ab + bz + -1bz + -5z = 0 + -1bz

Combine like terms: bz + -1bz = 0
-5a + ab + 0 + -5z = 0 + -1bz
-5a + ab + -5z = 0 + -1bz
Remove the zero:
-5a + ab + -5z = -1bz

Add '5z' to each side of the equation.
-5a + ab + -5z + 5z = -1bz + 5z

Combine like terms: -5z + 5z = 0
-5a + ab + 0 = -1bz + 5z
-5a + ab = -1bz + 5z

Reorder the terms:
-5a + ab + bz + -5z = -1bz + bz + 5z + -5z

Combine like terms: -1bz + bz = 0
-5a + ab + bz + -5z = 0 + 5z + -5z
-5a + ab + bz + -5z = 5z + -5z

Combine like terms: 5z + -5z = 0
-5a + ab + bz + -5z = 0

The solution to this equation could not be determined.