(3-2X)(4-X)=(1-2Y)(3-2Y)

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Solution for (3-2X)(4-X)=(1-2Y)(3-2Y) equation:


Simplifying
(3 + -2X)(4 + -1X) = (1 + -2Y)(3 + -2Y)

Multiply (3 + -2X) * (4 + -1X)
(3(4 + -1X) + -2X * (4 + -1X)) = (1 + -2Y)(3 + -2Y)
((4 * 3 + -1X * 3) + -2X * (4 + -1X)) = (1 + -2Y)(3 + -2Y)
((12 + -3X) + -2X * (4 + -1X)) = (1 + -2Y)(3 + -2Y)
(12 + -3X + (4 * -2X + -1X * -2X)) = (1 + -2Y)(3 + -2Y)
(12 + -3X + (-8X + 2X2)) = (1 + -2Y)(3 + -2Y)

Combine like terms: -3X + -8X = -11X
(12 + -11X + 2X2) = (1 + -2Y)(3 + -2Y)

Multiply (1 + -2Y) * (3 + -2Y)
12 + -11X + 2X2 = (1(3 + -2Y) + -2Y * (3 + -2Y))
12 + -11X + 2X2 = ((3 * 1 + -2Y * 1) + -2Y * (3 + -2Y))
12 + -11X + 2X2 = ((3 + -2Y) + -2Y * (3 + -2Y))
12 + -11X + 2X2 = (3 + -2Y + (3 * -2Y + -2Y * -2Y))
12 + -11X + 2X2 = (3 + -2Y + (-6Y + 4Y2))

Combine like terms: -2Y + -6Y = -8Y
12 + -11X + 2X2 = (3 + -8Y + 4Y2)

Solving
12 + -11X + 2X2 = 3 + -8Y + 4Y2

Solving for variable 'X'.

Reorder the terms:
12 + -3 + -11X + 2X2 + 8Y + -4Y2 = 3 + -8Y + 4Y2 + -3 + 8Y + -4Y2

Combine like terms: 12 + -3 = 9
9 + -11X + 2X2 + 8Y + -4Y2 = 3 + -8Y + 4Y2 + -3 + 8Y + -4Y2

Reorder the terms:
9 + -11X + 2X2 + 8Y + -4Y2 = 3 + -3 + -8Y + 8Y + 4Y2 + -4Y2

Combine like terms: 3 + -3 = 0
9 + -11X + 2X2 + 8Y + -4Y2 = 0 + -8Y + 8Y + 4Y2 + -4Y2
9 + -11X + 2X2 + 8Y + -4Y2 = -8Y + 8Y + 4Y2 + -4Y2

Combine like terms: -8Y + 8Y = 0
9 + -11X + 2X2 + 8Y + -4Y2 = 0 + 4Y2 + -4Y2
9 + -11X + 2X2 + 8Y + -4Y2 = 4Y2 + -4Y2

Combine like terms: 4Y2 + -4Y2 = 0
9 + -11X + 2X2 + 8Y + -4Y2 = 0

The solution to this equation could not be determined.

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