30=(a+4)(b+6)

Solution for 30=(a+4)(b+6) equation:

Simplifying
30 = (a + 4)(b + 6)

Reorder the terms:
30 = (4 + a)(b + 6)

Reorder the terms:
30 = (4 + a)(6 + b)

Multiply (4 + a) * (6 + b)
30 = (4(6 + b) + a(6 + b))
30 = ((6 * 4 + b * 4) + a(6 + b))
30 = ((24 + 4b) + a(6 + b))
30 = (24 + 4b + (6 * a + b * a))
30 = (24 + 4b + (6a + ab))

Reorder the terms:
30 = (24 + 6a + ab + 4b)
30 = (24 + 6a + ab + 4b)

Solving
30 = 24 + 6a + ab + 4b

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
30 + -6a = 24 + 6a + ab + -6a + 4b

Reorder the terms:
30 + -6a = 24 + 6a + -6a + ab + 4b

Combine like terms: 6a + -6a = 0
30 + -6a = 24 + 0 + ab + 4b
30 + -6a = 24 + ab + 4b

Add '-1ab' to each side of the equation.
30 + -6a + -1ab = 24 + ab + -1ab + 4b

Combine like terms: ab + -1ab = 0
30 + -6a + -1ab = 24 + 0 + 4b
30 + -6a + -1ab = 24 + 4b

Add '-30' to each side of the equation.
30 + -6a + -30 + -1ab = 24 + -30 + 4b

Reorder the terms:
30 + -30 + -6a + -1ab = 24 + -30 + 4b

Combine like terms: 30 + -30 = 0
0 + -6a + -1ab = 24 + -30 + 4b
-6a + -1ab = 24 + -30 + 4b

Combine like terms: 24 + -30 = -6
-6a + -1ab = -6 + 4b

Reorder the terms:
6 + -6a + -1ab + -4b = -6 + 4b + 6 + -4b

Reorder the terms:
6 + -6a + -1ab + -4b = -6 + 6 + 4b + -4b

Combine like terms: -6 + 6 = 0
6 + -6a + -1ab + -4b = 0 + 4b + -4b
6 + -6a + -1ab + -4b = 4b + -4b

Combine like terms: 4b + -4b = 0
6 + -6a + -1ab + -4b = 0

The solution to this equation could not be determined.