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

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

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

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

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

Reorder the terms for easier multiplication:
x(3 + a)(-6 + b) = 32

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

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

Reorder the terms:
(abx + -6ax + 3bx + -18x) = 32
(abx + -6ax + 3bx + -18x) = 32

Solving
abx + -6ax + 3bx + -18x = 32

Solving for variable 'a'.

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

Add '-3bx' to each side of the equation.
abx + -6ax + 3bx + -3bx + -18x = 32 + -3bx

Combine like terms: 3bx + -3bx = 0
abx + -6ax + 0 + -18x = 32 + -3bx
abx + -6ax + -18x = 32 + -3bx

Add '18x' to each side of the equation.
abx + -6ax + -18x + 18x = 32 + -3bx + 18x

Combine like terms: -18x + 18x = 0
abx + -6ax + 0 = 32 + -3bx + 18x
abx + -6ax = 32 + -3bx + 18x

Reorder the terms:
-32 + abx + -6ax + 3bx + -18x = 32 + -3bx + 18x + -32 + 3bx + -18x

Reorder the terms:
-32 + abx + -6ax + 3bx + -18x = 32 + -32 + -3bx + 3bx + 18x + -18x

Combine like terms: 32 + -32 = 0
-32 + abx + -6ax + 3bx + -18x = 0 + -3bx + 3bx + 18x + -18x
-32 + abx + -6ax + 3bx + -18x = -3bx + 3bx + 18x + -18x

Combine like terms: -3bx + 3bx = 0
-32 + abx + -6ax + 3bx + -18x = 0 + 18x + -18x
-32 + abx + -6ax + 3bx + -18x = 18x + -18x

Combine like terms: 18x + -18x = 0
-32 + abx + -6ax + 3bx + -18x = 0

The solution to this equation could not be determined.