5ab=(b-1)(4a+3)

Solution for 5ab=(b-1)(4a+3) equation:

Simplifying
5ab = (b + -1)(4a + 3)

Reorder the terms:
5ab = (-1 + b)(4a + 3)

Reorder the terms:
5ab = (-1 + b)(3 + 4a)

Multiply (-1 + b) * (3 + 4a)
5ab = (-1(3 + 4a) + b(3 + 4a))
5ab = ((3 * -1 + 4a * -1) + b(3 + 4a))
5ab = ((-3 + -4a) + b(3 + 4a))
5ab = (-3 + -4a + (3 * b + 4a * b))

Reorder the terms:
5ab = (-3 + -4a + (4ab + 3b))
5ab = (-3 + -4a + (4ab + 3b))
5ab = (-3 + -4a + 4ab + 3b)

Solving
5ab = -3 + -4a + 4ab + 3b

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
4a + 5ab = -3 + -4a + 4ab + 4a + 3b

Reorder the terms:
4a + 5ab = -3 + -4a + 4a + 4ab + 3b

Combine like terms: -4a + 4a = 0
4a + 5ab = -3 + 0 + 4ab + 3b
4a + 5ab = -3 + 4ab + 3b

Add '-4ab' to each side of the equation.
4a + 5ab + -4ab = -3 + 4ab + -4ab + 3b

Combine like terms: 5ab + -4ab = 1ab
4a + 1ab = -3 + 4ab + -4ab + 3b

Combine like terms: 4ab + -4ab = 0
4a + 1ab = -3 + 0 + 3b
4a + 1ab = -3 + 3b

Reorder the terms:
3 + 4a + 1ab + -3b = -3 + 3b + 3 + -3b

Reorder the terms:
3 + 4a + 1ab + -3b = -3 + 3 + 3b + -3b

Combine like terms: -3 + 3 = 0
3 + 4a + 1ab + -3b = 0 + 3b + -3b
3 + 4a + 1ab + -3b = 3b + -3b

Combine like terms: 3b + -3b = 0
3 + 4a + 1ab + -3b = 0

The solution to this equation could not be determined.