(X-2)(x+1)=x^2+4

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Solution for (X-2)(x+1)=x^2+4 equation: 


Simplifying
(X + -2)(x + 1) = x2 + 4

Reorder the terms:
(-2 + X)(x + 1) = x2 + 4

Reorder the terms:
(-2 + X)(1 + x) = x2 + 4

Multiply (-2 + X) * (1 + x)
(-2(1 + x) + X(1 + x)) = x2 + 4
((1 * -2 + x * -2) + X(1 + x)) = x2 + 4
((-2 + -2x) + X(1 + x)) = x2 + 4
(-2 + -2x + (1 * X + x * X)) = x2 + 4
(-2 + -2x + (1X + xX)) = x2 + 4

Reorder the terms:
(-2 + 1X + -2x + xX) = x2 + 4
(-2 + 1X + -2x + xX) = x2 + 4

Reorder the terms:
-2 + 1X + -2x + xX = 4 + x2

Solving
-2 + 1X + -2x + xX = 4 + x2

Solving for variable 'X'.

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

Add '2' to each side of the equation.
-2 + 1X + -2x + 2 + xX = 4 + 2 + x2

Reorder the terms:
-2 + 2 + 1X + -2x + xX = 4 + 2 + x2

Combine like terms: -2 + 2 = 0
0 + 1X + -2x + xX = 4 + 2 + x2
1X + -2x + xX = 4 + 2 + x2

Combine like terms: 4 + 2 = 6
1X + -2x + xX = 6 + x2

Add '2x' to each side of the equation.
1X + -2x + 2x + xX = 6 + 2x + x2

Combine like terms: -2x + 2x = 0
1X + 0 + xX = 6 + 2x + x2
1X + xX = 6 + 2x + x2

Reorder the terms:
-6 + 1X + -2x + xX + -1x2 = 6 + 2x + x2 + -6 + -2x + -1x2

Reorder the terms:
-6 + 1X + -2x + xX + -1x2 = 6 + -6 + 2x + -2x + x2 + -1x2

Combine like terms: 6 + -6 = 0
-6 + 1X + -2x + xX + -1x2 = 0 + 2x + -2x + x2 + -1x2
-6 + 1X + -2x + xX + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
-6 + 1X + -2x + xX + -1x2 = 0 + x2 + -1x2
-6 + 1X + -2x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + 1X + -2x + xX + -1x2 = 0

The solution to this equation could not be determined.

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