[a+b]*[b-3]=

Solution for [a+b]*[b-3]= equation:

Simplifying
[a + b][b + -3] = 0

Reorder the terms:
[a + b][-3 + b] = 0

Multiply [a + b] * [-3 + b]
[a[-3 + b] + b[-3 + b]] = 0
[[-3 * a + b * a] + b[-3 + b]] = 0
[[-3a + ab] + b[-3 + b]] = 0
[-3a + ab + [-3 * b + b * b]] = 0
[-3a + ab + [-3b + b2]] = 0
[-3a + ab + -3b + b2] = 0

Solving
-3a + ab + -3b + b2 = 0

Solving for variable 'a'.

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

Add '3b' to each side of the equation.
-3a + ab + -3b + 3b + b2 = 0 + 3b

Combine like terms: -3b + 3b = 0
-3a + ab + 0 + b2 = 0 + 3b
-3a + ab + b2 = 0 + 3b
Remove the zero:
-3a + ab + b2 = 3b

Add '-1b2' to each side of the equation.
-3a + ab + b2 + -1b2 = 3b + -1b2

Combine like terms: b2 + -1b2 = 0
-3a + ab + 0 = 3b + -1b2
-3a + ab = 3b + -1b2

Reorder the terms:
-3a + ab + -3b + b2 = 3b + -3b + -1b2 + b2

Combine like terms: 3b + -3b = 0
-3a + ab + -3b + b2 = 0 + -1b2 + b2
-3a + ab + -3b + b2 = -1b2 + b2

Combine like terms: -1b2 + b2 = 0
-3a + ab + -3b + b2 = 0

The solution to this equation could not be determined.