(X-1)(x+2)=x^2+kx+m

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


Simplifying
(X + -1)(x + 2) = x2 + kx + m

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

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

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

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

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

Solving
-2 + 2X + -1x + xX = kx + m + 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 + 2X + -1x + 2 + xX = kx + m + 2 + x2

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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