(X+2)(x+7)=y^2+6y+20

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Solution for (X+2)(x+7)=y^2+6y+20 equation: 


Simplifying
(X + 2)(x + 7) = y2 + 6y + 20

Reorder the terms:
(2 + X)(x + 7) = y2 + 6y + 20

Reorder the terms:
(2 + X)(7 + x) = y2 + 6y + 20

Multiply (2 + X) * (7 + x)
(2(7 + x) + X(7 + x)) = y2 + 6y + 20
((7 * 2 + x * 2) + X(7 + x)) = y2 + 6y + 20
((14 + 2x) + X(7 + x)) = y2 + 6y + 20
(14 + 2x + (7 * X + x * X)) = y2 + 6y + 20
(14 + 2x + (7X + xX)) = y2 + 6y + 20

Reorder the terms:
(14 + 7X + 2x + xX) = y2 + 6y + 20
(14 + 7X + 2x + xX) = y2 + 6y + 20

Reorder the terms:
14 + 7X + 2x + xX = 20 + 6y + y2

Solving
14 + 7X + 2x + xX = 20 + 6y + y2

Solving for variable 'X'.

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

Add '-14' to each side of the equation.
14 + 7X + 2x + -14 + xX = 20 + 6y + -14 + y2

Reorder the terms:
14 + -14 + 7X + 2x + xX = 20 + 6y + -14 + y2

Combine like terms: 14 + -14 = 0
0 + 7X + 2x + xX = 20 + 6y + -14 + y2
7X + 2x + xX = 20 + 6y + -14 + y2

Reorder the terms:
7X + 2x + xX = 20 + -14 + 6y + y2

Combine like terms: 20 + -14 = 6
7X + 2x + xX = 6 + 6y + y2

Add '-2x' to each side of the equation.
7X + 2x + -2x + xX = 6 + 6y + -2x + y2

Combine like terms: 2x + -2x = 0
7X + 0 + xX = 6 + 6y + -2x + y2
7X + xX = 6 + 6y + -2x + y2

Reorder the terms:
7X + xX = 6 + -2x + 6y + y2

Reorder the terms:
-6 + 7X + 2x + xX + -6y + -1y2 = 6 + -2x + 6y + y2 + -6 + 2x + -6y + -1y2

Reorder the terms:
-6 + 7X + 2x + xX + -6y + -1y2 = 6 + -6 + -2x + 2x + 6y + -6y + y2 + -1y2

Combine like terms: 6 + -6 = 0
-6 + 7X + 2x + xX + -6y + -1y2 = 0 + -2x + 2x + 6y + -6y + y2 + -1y2
-6 + 7X + 2x + xX + -6y + -1y2 = -2x + 2x + 6y + -6y + y2 + -1y2

Combine like terms: -2x + 2x = 0
-6 + 7X + 2x + xX + -6y + -1y2 = 0 + 6y + -6y + y2 + -1y2
-6 + 7X + 2x + xX + -6y + -1y2 = 6y + -6y + y2 + -1y2

Combine like terms: 6y + -6y = 0
-6 + 7X + 2x + xX + -6y + -1y2 = 0 + y2 + -1y2
-6 + 7X + 2x + xX + -6y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-6 + 7X + 2x + xX + -6y + -1y2 = 0

The solution to this equation could not be determined.

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