(X-3)(x-3)+y^2=49

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Solution for (X-3)(x-3)+y^2=49 equation:


Simplifying
(X + -3)(x + -3) + y2 = 49

Reorder the terms:
(-3 + X)(x + -3) + y2 = 49

Reorder the terms:
(-3 + X)(-3 + x) + y2 = 49

Multiply (-3 + X) * (-3 + x)
(-3(-3 + x) + X(-3 + x)) + y2 = 49
((-3 * -3 + x * -3) + X(-3 + x)) + y2 = 49
((9 + -3x) + X(-3 + x)) + y2 = 49
(9 + -3x + (-3 * X + x * X)) + y2 = 49
(9 + -3x + (-3X + xX)) + y2 = 49

Reorder the terms:
(9 + -3X + -3x + xX) + y2 = 49
(9 + -3X + -3x + xX) + y2 = 49

Solving
9 + -3X + -3x + xX + y2 = 49

Solving for variable 'X'.

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

Add '-9' to each side of the equation.
9 + -3X + -3x + xX + -9 + y2 = 49 + -9

Reorder the terms:
9 + -9 + -3X + -3x + xX + y2 = 49 + -9

Combine like terms: 9 + -9 = 0
0 + -3X + -3x + xX + y2 = 49 + -9
-3X + -3x + xX + y2 = 49 + -9

Combine like terms: 49 + -9 = 40
-3X + -3x + xX + y2 = 40

Add '3x' to each side of the equation.
-3X + -3x + xX + 3x + y2 = 40 + 3x

Reorder the terms:
-3X + -3x + 3x + xX + y2 = 40 + 3x

Combine like terms: -3x + 3x = 0
-3X + 0 + xX + y2 = 40 + 3x
-3X + xX + y2 = 40 + 3x

Add '-1y2' to each side of the equation.
-3X + xX + y2 + -1y2 = 40 + 3x + -1y2

Combine like terms: y2 + -1y2 = 0
-3X + xX + 0 = 40 + 3x + -1y2
-3X + xX = 40 + 3x + -1y2

Reorder the terms:
-40 + -3X + -3x + xX + y2 = 40 + 3x + -1y2 + -40 + -3x + y2

Reorder the terms:
-40 + -3X + -3x + xX + y2 = 40 + -40 + 3x + -3x + -1y2 + y2

Combine like terms: 40 + -40 = 0
-40 + -3X + -3x + xX + y2 = 0 + 3x + -3x + -1y2 + y2
-40 + -3X + -3x + xX + y2 = 3x + -3x + -1y2 + y2

Combine like terms: 3x + -3x = 0
-40 + -3X + -3x + xX + y2 = 0 + -1y2 + y2
-40 + -3X + -3x + xX + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-40 + -3X + -3x + xX + y2 = 0

The solution to this equation could not be determined.

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