2(x-2)squared=(2x-1)(x-3)

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Solution for 2(x-2)squared=(2x-1)(x-3) equation:


Simplifying
2(x + -2) * squared = (2x + -1)(x + -3)

Reorder the terms:
2(-2 + x) * squared = (2x + -1)(x + -3)

Reorder the terms for easier multiplication:
2adeqrsu(-2 + x) = (2x + -1)(x + -3)
(-2 * 2adeqrsu + x * 2adeqrsu) = (2x + -1)(x + -3)
(-4adeqrsu + 2adeqrsux) = (2x + -1)(x + -3)

Reorder the terms:
-4adeqrsu + 2adeqrsux = (-1 + 2x)(x + -3)

Reorder the terms:
-4adeqrsu + 2adeqrsux = (-1 + 2x)(-3 + x)

Multiply (-1 + 2x) * (-3 + x)
-4adeqrsu + 2adeqrsux = (-1(-3 + x) + 2x * (-3 + x))
-4adeqrsu + 2adeqrsux = ((-3 * -1 + x * -1) + 2x * (-3 + x))
-4adeqrsu + 2adeqrsux = ((3 + -1x) + 2x * (-3 + x))
-4adeqrsu + 2adeqrsux = (3 + -1x + (-3 * 2x + x * 2x))
-4adeqrsu + 2adeqrsux = (3 + -1x + (-6x + 2x2))

Combine like terms: -1x + -6x = -7x
-4adeqrsu + 2adeqrsux = (3 + -7x + 2x2)

Solving
-4adeqrsu + 2adeqrsux = 3 + -7x + 2x2

Solving for variable 'a'.

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

Reorder the terms:
-3 + -4adeqrsu + 2adeqrsux + 7x + -2x2 = 3 + -7x + 2x2 + -3 + 7x + -2x2

Reorder the terms:
-3 + -4adeqrsu + 2adeqrsux + 7x + -2x2 = 3 + -3 + -7x + 7x + 2x2 + -2x2

Combine like terms: 3 + -3 = 0
-3 + -4adeqrsu + 2adeqrsux + 7x + -2x2 = 0 + -7x + 7x + 2x2 + -2x2
-3 + -4adeqrsu + 2adeqrsux + 7x + -2x2 = -7x + 7x + 2x2 + -2x2

Combine like terms: -7x + 7x = 0
-3 + -4adeqrsu + 2adeqrsux + 7x + -2x2 = 0 + 2x2 + -2x2
-3 + -4adeqrsu + 2adeqrsux + 7x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-3 + -4adeqrsu + 2adeqrsux + 7x + -2x2 = 0

The solution to this equation could not be determined.

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