b(4x-b)=a(2x-a)

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


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

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

Reorder the terms:
(4bx + -1b2) = a(2x + -1a)
(4bx + -1b2) = a(2x + -1a)

Reorder the terms:
4bx + -1b2 = a(-1a + 2x)
4bx + -1b2 = (-1a * a + 2x * a)

Reorder the terms:
4bx + -1b2 = (2ax + -1a2)
4bx + -1b2 = (2ax + -1a2)

Solving
4bx + -1b2 = 2ax + -1a2

Solving for variable 'b'.

Reorder the terms:
-2ax + a2 + 4bx + -1b2 = 2ax + -1a2 + -2ax + a2

Reorder the terms:
-2ax + a2 + 4bx + -1b2 = 2ax + -2ax + -1a2 + a2

Combine like terms: 2ax + -2ax = 0
-2ax + a2 + 4bx + -1b2 = 0 + -1a2 + a2
-2ax + a2 + 4bx + -1b2 = -1a2 + a2

Combine like terms: -1a2 + a2 = 0
-2ax + a2 + 4bx + -1b2 = 0

The solution to this equation could not be determined.

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