(r+5)(z-6)=

Solution for (r+5)(z-6)= equation:

Simplifying
(r + 5)(z + -6) = 0

Reorder the terms:
(5 + r)(z + -6) = 0

Reorder the terms:
(5 + r)(-6 + z) = 0

Multiply (5 + r) * (-6 + z)
(5(-6 + z) + r(-6 + z)) = 0
((-6 * 5 + z * 5) + r(-6 + z)) = 0
((-30 + 5z) + r(-6 + z)) = 0
(-30 + 5z + (-6 * r + z * r)) = 0
(-30 + 5z + (-6r + rz)) = 0

Reorder the terms:
(-30 + -6r + rz + 5z) = 0
(-30 + -6r + rz + 5z) = 0

Solving
-30 + -6r + rz + 5z = 0

Solving for variable 'r'.

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

Add '30' to each side of the equation.
-30 + -6r + rz + 30 + 5z = 0 + 30

Reorder the terms:
-30 + 30 + -6r + rz + 5z = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -6r + rz + 5z = 0 + 30
-6r + rz + 5z = 0 + 30

Combine like terms: 0 + 30 = 30
-6r + rz + 5z = 30

Add '-5z' to each side of the equation.
-6r + rz + 5z + -5z = 30 + -5z

Combine like terms: 5z + -5z = 0
-6r + rz + 0 = 30 + -5z
-6r + rz = 30 + -5z

Reorder the terms:
-30 + -6r + rz + 5z = 30 + -5z + -30 + 5z

Reorder the terms:
-30 + -6r + rz + 5z = 30 + -30 + -5z + 5z

Combine like terms: 30 + -30 = 0
-30 + -6r + rz + 5z = 0 + -5z + 5z
-30 + -6r + rz + 5z = -5z + 5z

Combine like terms: -5z + 5z = 0
-30 + -6r + rz + 5z = 0

The solution to this equation could not be determined.