x^2-Y^2-4x+3=0

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Solution for x^2-Y^2-4x+3=0 equation:


Simplifying
x2 + -1Y2 + -4x + 3 = 0

Reorder the terms:
3 + -1Y2 + -4x + x2 = 0

Solving
3 + -1Y2 + -4x + x2 = 0

Solving for variable 'Y'.

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

Add '-3' to each side of the equation.
3 + -1Y2 + -4x + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -1Y2 + -4x + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1Y2 + -4x + x2 = 0 + -3
-1Y2 + -4x + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-1Y2 + -4x + x2 = -3

Add '4x' to each side of the equation.
-1Y2 + -4x + 4x + x2 = -3 + 4x

Combine like terms: -4x + 4x = 0
-1Y2 + 0 + x2 = -3 + 4x
-1Y2 + x2 = -3 + 4x

Add '-1x2' to each side of the equation.
-1Y2 + x2 + -1x2 = -3 + 4x + -1x2

Combine like terms: x2 + -1x2 = 0
-1Y2 + 0 = -3 + 4x + -1x2
-1Y2 = -3 + 4x + -1x2

Divide each side by '-1'.
Y2 = 3 + -4x + x2

Simplifying
Y2 = 3 + -4x + x2

Reorder the terms:
-3 + Y2 + 4x + -1x2 = 3 + -4x + x2 + -3 + 4x + -1x2

Reorder the terms:
-3 + Y2 + 4x + -1x2 = 3 + -3 + -4x + 4x + x2 + -1x2

Combine like terms: 3 + -3 = 0
-3 + Y2 + 4x + -1x2 = 0 + -4x + 4x + x2 + -1x2
-3 + Y2 + 4x + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
-3 + Y2 + 4x + -1x2 = 0 + x2 + -1x2
-3 + Y2 + 4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + Y2 + 4x + -1x2 = 0

The solution to this equation could not be determined.

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