(a+3)*(b-6)=32

Solution for (a+3)*(b-6)=32 equation:

Simplifying
(a + 3)(b + -6) = 32

Reorder the terms:
(3 + a)(b + -6) = 32

Reorder the terms:
(3 + a)(-6 + b) = 32

Multiply (3 + a) * (-6 + b)
(3(-6 + b) + a(-6 + b)) = 32
((-6 * 3 + b * 3) + a(-6 + b)) = 32
((-18 + 3b) + a(-6 + b)) = 32
(-18 + 3b + (-6 * a + b * a)) = 32
(-18 + 3b + (-6a + ab)) = 32

Reorder the terms:
(-18 + -6a + ab + 3b) = 32
(-18 + -6a + ab + 3b) = 32

Solving
-18 + -6a + ab + 3b = 32

Solving for variable 'a'.

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

Add '18' to each side of the equation.
-18 + -6a + ab + 18 + 3b = 32 + 18

Reorder the terms:
-18 + 18 + -6a + ab + 3b = 32 + 18

Combine like terms: -18 + 18 = 0
0 + -6a + ab + 3b = 32 + 18
-6a + ab + 3b = 32 + 18

Combine like terms: 32 + 18 = 50
-6a + ab + 3b = 50

Add '-3b' to each side of the equation.
-6a + ab + 3b + -3b = 50 + -3b

Combine like terms: 3b + -3b = 0
-6a + ab + 0 = 50 + -3b
-6a + ab = 50 + -3b

Reorder the terms:
-50 + -6a + ab + 3b = 50 + -3b + -50 + 3b

Reorder the terms:
-50 + -6a + ab + 3b = 50 + -50 + -3b + 3b

Combine like terms: 50 + -50 = 0
-50 + -6a + ab + 3b = 0 + -3b + 3b
-50 + -6a + ab + 3b = -3b + 3b

Combine like terms: -3b + 3b = 0
-50 + -6a + ab + 3b = 0

The solution to this equation could not be determined.