a(x-a)-2bx=b(b-2a-x)

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Solution for a(x-a)-2bx=b(b-2a-x) equation:


Simplifying
a(x + -1a) + -2bx = b(b + -2a + -1x)

Reorder the terms:
a(-1a + x) + -2bx = b(b + -2a + -1x)
(-1a * a + x * a) + -2bx = b(b + -2a + -1x)

Reorder the terms:
(ax + -1a2) + -2bx = b(b + -2a + -1x)
(ax + -1a2) + -2bx = b(b + -2a + -1x)

Reorder the terms:
ax + -1a2 + -2bx = b(-2a + b + -1x)
ax + -1a2 + -2bx = (-2a * b + b * b + -1x * b)

Reorder the terms:
ax + -1a2 + -2bx = (-2ab + -1bx + b2)
ax + -1a2 + -2bx = (-2ab + -1bx + b2)

Solving
ax + -1a2 + -2bx = -2ab + -1bx + b2

Solving for variable 'a'.

Reorder the terms:
2ab + ax + -1a2 + -2bx + bx + -1b2 = -2ab + -1bx + b2 + 2ab + bx + -1b2

Combine like terms: -2bx + bx = -1bx
2ab + ax + -1a2 + -1bx + -1b2 = -2ab + -1bx + b2 + 2ab + bx + -1b2

Reorder the terms:
2ab + ax + -1a2 + -1bx + -1b2 = -2ab + 2ab + -1bx + bx + b2 + -1b2

Combine like terms: -2ab + 2ab = 0
2ab + ax + -1a2 + -1bx + -1b2 = 0 + -1bx + bx + b2 + -1b2
2ab + ax + -1a2 + -1bx + -1b2 = -1bx + bx + b2 + -1b2

Combine like terms: -1bx + bx = 0
2ab + ax + -1a2 + -1bx + -1b2 = 0 + b2 + -1b2
2ab + ax + -1a2 + -1bx + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
2ab + ax + -1a2 + -1bx + -1b2 = 0

The solution to this equation could not be determined.

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