(X+2)(x+2)+x^2=52

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Solution for (X+2)(x+2)+x^2=52 equation: 


Simplifying
(X + 2)(x + 2) + x2 = 52

Reorder the terms:
(2 + X)(x + 2) + x2 = 52

Reorder the terms:
(2 + X)(2 + x) + x2 = 52

Multiply (2 + X) * (2 + x)
(2(2 + x) + X(2 + x)) + x2 = 52
((2 * 2 + x * 2) + X(2 + x)) + x2 = 52
((4 + 2x) + X(2 + x)) + x2 = 52
(4 + 2x + (2 * X + x * X)) + x2 = 52
(4 + 2x + (2X + xX)) + x2 = 52

Reorder the terms:
(4 + 2X + 2x + xX) + x2 = 52
(4 + 2X + 2x + xX) + x2 = 52

Solving
4 + 2X + 2x + xX + x2 = 52

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + 2X + 2x + xX + -4 + x2 = 52 + -4

Reorder the terms:
4 + -4 + 2X + 2x + xX + x2 = 52 + -4

Combine like terms: 4 + -4 = 0
0 + 2X + 2x + xX + x2 = 52 + -4
2X + 2x + xX + x2 = 52 + -4

Combine like terms: 52 + -4 = 48
2X + 2x + xX + x2 = 48

Add '-2x' to each side of the equation.
2X + 2x + xX + -2x + x2 = 48 + -2x

Reorder the terms:
2X + 2x + -2x + xX + x2 = 48 + -2x

Combine like terms: 2x + -2x = 0
2X + 0 + xX + x2 = 48 + -2x
2X + xX + x2 = 48 + -2x

Add '-1x2' to each side of the equation.
2X + xX + x2 + -1x2 = 48 + -2x + -1x2

Combine like terms: x2 + -1x2 = 0
2X + xX + 0 = 48 + -2x + -1x2
2X + xX = 48 + -2x + -1x2

Reorder the terms:
-48 + 2X + 2x + xX + x2 = 48 + -2x + -1x2 + -48 + 2x + x2

Reorder the terms:
-48 + 2X + 2x + xX + x2 = 48 + -48 + -2x + 2x + -1x2 + x2

Combine like terms: 48 + -48 = 0
-48 + 2X + 2x + xX + x2 = 0 + -2x + 2x + -1x2 + x2
-48 + 2X + 2x + xX + x2 = -2x + 2x + -1x2 + x2

Combine like terms: -2x + 2x = 0
-48 + 2X + 2x + xX + x2 = 0 + -1x2 + x2
-48 + 2X + 2x + xX + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-48 + 2X + 2x + xX + x2 = 0

The solution to this equation could not be determined.

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