2b+7a+4=(b+a)(b-a)

Solution for 2b+7a+4=(b+a)(b-a) equation:

Simplifying
2b + 7a + 4 = (b + a)(b + -1a)

Reorder the terms:
4 + 7a + 2b = (b + a)(b + -1a)

Reorder the terms:
4 + 7a + 2b = (a + b)(b + -1a)

Reorder the terms:
4 + 7a + 2b = (a + b)(-1a + b)

Multiply (a + b) * (-1a + b)
4 + 7a + 2b = (a(-1a + b) + b(-1a + b))
4 + 7a + 2b = ((-1a * a + b * a) + b(-1a + b))

Reorder the terms:
4 + 7a + 2b = ((ab + -1a2) + b(-1a + b))
4 + 7a + 2b = ((ab + -1a2) + b(-1a + b))
4 + 7a + 2b = (ab + -1a2 + (-1a * b + b * b))
4 + 7a + 2b = (ab + -1a2 + (-1ab + b2))

Reorder the terms:
4 + 7a + 2b = (ab + -1ab + -1a2 + b2)

Combine like terms: ab + -1ab = 0
4 + 7a + 2b = (0 + -1a2 + b2)
4 + 7a + 2b = (-1a2 + b2)

Solving
4 + 7a + 2b = -1a2 + b2

Solving for variable 'a'.

Reorder the terms:
4 + 7a + a2 + 2b + -1b2 = -1a2 + b2 + a2 + -1b2

Reorder the terms:
4 + 7a + a2 + 2b + -1b2 = -1a2 + a2 + b2 + -1b2

Combine like terms: -1a2 + a2 = 0
4 + 7a + a2 + 2b + -1b2 = 0 + b2 + -1b2
4 + 7a + a2 + 2b + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
4 + 7a + a2 + 2b + -1b2 = 0

The solution to this equation could not be determined.