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

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


Simplifying
X(x + 2) + -1(x + -1)(x + -3) = 0

Reorder the terms:
X(2 + x) + -1(x + -1)(x + -3) = 0
(2 * X + x * X) + -1(x + -1)(x + -3) = 0
(2X + xX) + -1(x + -1)(x + -3) = 0

Reorder the terms:
2X + xX + -1(-1 + x)(x + -3) = 0

Reorder the terms:
2X + xX + -1(-1 + x)(-3 + x) = 0

Multiply (-1 + x) * (-3 + x)
2X + xX + -1(-1(-3 + x) + x(-3 + x)) = 0
2X + xX + -1((-3 * -1 + x * -1) + x(-3 + x)) = 0
2X + xX + -1((3 + -1x) + x(-3 + x)) = 0
2X + xX + -1(3 + -1x + (-3 * x + x * x)) = 0
2X + xX + -1(3 + -1x + (-3x + x2)) = 0

Combine like terms: -1x + -3x = -4x
2X + xX + -1(3 + -4x + x2) = 0
2X + xX + (3 * -1 + -4x * -1 + x2 * -1) = 0
2X + xX + (-3 + 4x + -1x2) = 0

Reorder the terms:
-3 + 2X + 4x + xX + -1x2 = 0

Solving
-3 + 2X + 4x + xX + -1x2 = 0

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 + 2X + 4x + xX + 3 + -1x2 = 0 + 3

Reorder the terms:
-3 + 3 + 2X + 4x + xX + -1x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2X + 4x + xX + -1x2 = 0 + 3
2X + 4x + xX + -1x2 = 0 + 3

Combine like terms: 0 + 3 = 3
2X + 4x + xX + -1x2 = 3

Add '-4x' to each side of the equation.
2X + 4x + xX + -4x + -1x2 = 3 + -4x

Reorder the terms:
2X + 4x + -4x + xX + -1x2 = 3 + -4x

Combine like terms: 4x + -4x = 0
2X + 0 + xX + -1x2 = 3 + -4x
2X + xX + -1x2 = 3 + -4x

Add 'x2' to each side of the equation.
2X + xX + -1x2 + x2 = 3 + -4x + x2

Combine like terms: -1x2 + x2 = 0
2X + xX + 0 = 3 + -4x + x2
2X + xX = 3 + -4x + x2

Reorder the terms:
-3 + 2X + 4x + xX + -1x2 = 3 + -4x + x2 + -3 + 4x + -1x2

Reorder the terms:
-3 + 2X + 4x + xX + -1x2 = 3 + -3 + -4x + 4x + x2 + -1x2

Combine like terms: 3 + -3 = 0
-3 + 2X + 4x + xX + -1x2 = 0 + -4x + 4x + x2 + -1x2
-3 + 2X + 4x + xX + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
-3 + 2X + 4x + xX + -1x2 = 0 + x2 + -1x2
-3 + 2X + 4x + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + 2X + 4x + xX + -1x2 = 0

The solution to this equation could not be determined.

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