(ax-b)(bx+a)=(bx^2+a)a

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Solution for (ax-b)(bx+a)=(bx^2+a)a equation: 


Simplifying
(ax + -1b)(bx + a) = (bx2 + a) * a

Reorder the terms:
(ax + -1b)(a + bx) = (bx2 + a) * a

Multiply (ax + -1b) * (a + bx)
(ax(a + bx) + -1b * (a + bx)) = (bx2 + a) * a
((a * ax + bx * ax) + -1b * (a + bx)) = (bx2 + a) * a

Reorder the terms:
((abx2 + a2x) + -1b * (a + bx)) = (bx2 + a) * a
((abx2 + a2x) + -1b * (a + bx)) = (bx2 + a) * a
(abx2 + a2x + (a * -1b + bx * -1b)) = (bx2 + a) * a
(abx2 + a2x + (-1ab + -1b2x)) = (bx2 + a) * a

Reorder the terms:
(-1ab + abx2 + a2x + -1b2x) = (bx2 + a) * a
(-1ab + abx2 + a2x + -1b2x) = (bx2 + a) * a

Reorder the terms:
-1ab + abx2 + a2x + -1b2x = (a + bx2) * a

Reorder the terms for easier multiplication:
-1ab + abx2 + a2x + -1b2x = a(a + bx2)
-1ab + abx2 + a2x + -1b2x = (a * a + bx2 * a)

Reorder the terms:
-1ab + abx2 + a2x + -1b2x = (abx2 + a2)
-1ab + abx2 + a2x + -1b2x = (abx2 + a2)

Add '-1abx2' to each side of the equation.
-1ab + abx2 + a2x + -1abx2 + -1b2x = abx2 + -1abx2 + a2

Reorder the terms:
-1ab + abx2 + -1abx2 + a2x + -1b2x = abx2 + -1abx2 + a2

Combine like terms: abx2 + -1abx2 = 0
-1ab + 0 + a2x + -1b2x = abx2 + -1abx2 + a2
-1ab + a2x + -1b2x = abx2 + -1abx2 + a2

Combine like terms: abx2 + -1abx2 = 0
-1ab + a2x + -1b2x = 0 + a2
-1ab + a2x + -1b2x = a2

Solving
-1ab + a2x + -1b2x = a2

Solving for variable 'a'.

Reorder the terms:
-1ab + -1a2 + a2x + -1b2x = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
-1ab + -1a2 + a2x + -1b2x = 0

The solution to this equation could not be determined.

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