X^2-2x-3=x^2+x-2

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Solution for X^2-2x-3=x^2+x-2 equation:


Simplifying
X2 + -2x + -3 = x2 + x + -2

Reorder the terms:
-3 + X2 + -2x = x2 + x + -2

Reorder the terms:
-3 + X2 + -2x = -2 + x + x2

Solving
-3 + X2 + -2x = -2 + x + 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 + X2 + 3 + -2x = -2 + x + 3 + x2

Reorder the terms:
-3 + 3 + X2 + -2x = -2 + x + 3 + x2

Combine like terms: -3 + 3 = 0
0 + X2 + -2x = -2 + x + 3 + x2
X2 + -2x = -2 + x + 3 + x2

Reorder the terms:
X2 + -2x = -2 + 3 + x + x2

Combine like terms: -2 + 3 = 1
X2 + -2x = 1 + x + x2

Add '2x' to each side of the equation.
X2 + -2x + 2x = 1 + x + 2x + x2

Combine like terms: -2x + 2x = 0
X2 + 0 = 1 + x + 2x + x2
X2 = 1 + x + 2x + x2

Combine like terms: x + 2x = 3x
X2 = 1 + 3x + x2

Simplifying
X2 = 1 + 3x + x2

Reorder the terms:
-1 + X2 + -3x + -1x2 = 1 + 3x + x2 + -1 + -3x + -1x2

Reorder the terms:
-1 + X2 + -3x + -1x2 = 1 + -1 + 3x + -3x + x2 + -1x2

Combine like terms: 1 + -1 = 0
-1 + X2 + -3x + -1x2 = 0 + 3x + -3x + x2 + -1x2
-1 + X2 + -3x + -1x2 = 3x + -3x + x2 + -1x2

Combine like terms: 3x + -3x = 0
-1 + X2 + -3x + -1x2 = 0 + x2 + -1x2
-1 + X2 + -3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1 + X2 + -3x + -1x2 = 0

The solution to this equation could not be determined.

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