(X+1)(x+3)=x^2+11

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Solution for (X+1)(x+3)=x^2+11 equation:


Simplifying
(X + 1)(x + 3) = x2 + 11

Reorder the terms:
(1 + X)(x + 3) = x2 + 11

Reorder the terms:
(1 + X)(3 + x) = x2 + 11

Multiply (1 + X) * (3 + x)
(1(3 + x) + X(3 + x)) = x2 + 11
((3 * 1 + x * 1) + X(3 + x)) = x2 + 11
((3 + 1x) + X(3 + x)) = x2 + 11
(3 + 1x + (3 * X + x * X)) = x2 + 11
(3 + 1x + (3X + xX)) = x2 + 11

Reorder the terms:
(3 + 3X + 1x + xX) = x2 + 11
(3 + 3X + 1x + xX) = x2 + 11

Reorder the terms:
3 + 3X + 1x + xX = 11 + x2

Solving
3 + 3X + 1x + xX = 11 + x2

Solving for variable 'X'.

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

Add '-3' to each side of the equation.
3 + 3X + 1x + -3 + xX = 11 + -3 + x2

Reorder the terms:
3 + -3 + 3X + 1x + xX = 11 + -3 + x2

Combine like terms: 3 + -3 = 0
0 + 3X + 1x + xX = 11 + -3 + x2
3X + 1x + xX = 11 + -3 + x2

Combine like terms: 11 + -3 = 8
3X + 1x + xX = 8 + x2

Add '-1x' to each side of the equation.
3X + 1x + -1x + xX = 8 + -1x + x2

Combine like terms: 1x + -1x = 0
3X + 0 + xX = 8 + -1x + x2
3X + xX = 8 + -1x + x2

Reorder the terms:
-8 + 3X + x + xX + -1x2 = 8 + -1x + x2 + -8 + x + -1x2

Reorder the terms:
-8 + 3X + x + xX + -1x2 = 8 + -8 + -1x + x + x2 + -1x2

Combine like terms: 8 + -8 = 0
-8 + 3X + x + xX + -1x2 = 0 + -1x + x + x2 + -1x2
-8 + 3X + x + xX + -1x2 = -1x + x + x2 + -1x2

Combine like terms: -1x + x = 0
-8 + 3X + x + xX + -1x2 = 0 + x2 + -1x2
-8 + 3X + x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-8 + 3X + x + xX + -1x2 = 0

The solution to this equation could not be determined.

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