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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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