(x^2-2x+3)(x-1)-(2x-3)(x^2-5x+2)=

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Solution for (x^2-2x+3)(x-1)-(2x-3)(x^2-5x+2)= equation: 


Simplifying
(x2 + -2x + 3)(x + -1) + -1(2x + -3)(x2 + -5x + 2) = 0

Reorder the terms:
(3 + -2x + x2)(x + -1) + -1(2x + -3)(x2 + -5x + 2) = 0

Reorder the terms:
(3 + -2x + x2)(-1 + x) + -1(2x + -3)(x2 + -5x + 2) = 0

Multiply (3 + -2x + x2) * (-1 + x)
(3(-1 + x) + -2x * (-1 + x) + x2(-1 + x)) + -1(2x + -3)(x2 + -5x + 2) = 0
((-1 * 3 + x * 3) + -2x * (-1 + x) + x2(-1 + x)) + -1(2x + -3)(x2 + -5x + 2) = 0
((-3 + 3x) + -2x * (-1 + x) + x2(-1 + x)) + -1(2x + -3)(x2 + -5x + 2) = 0
(-3 + 3x + (-1 * -2x + x * -2x) + x2(-1 + x)) + -1(2x + -3)(x2 + -5x + 2) = 0
(-3 + 3x + (2x + -2x2) + x2(-1 + x)) + -1(2x + -3)(x2 + -5x + 2) = 0
(-3 + 3x + 2x + -2x2 + (-1 * x2 + x * x2)) + -1(2x + -3)(x2 + -5x + 2) = 0
(-3 + 3x + 2x + -2x2 + (-1x2 + x3)) + -1(2x + -3)(x2 + -5x + 2) = 0

Combine like terms: 3x + 2x = 5x
(-3 + 5x + -2x2 + -1x2 + x3) + -1(2x + -3)(x2 + -5x + 2) = 0

Combine like terms: -2x2 + -1x2 = -3x2
(-3 + 5x + -3x2 + x3) + -1(2x + -3)(x2 + -5x + 2) = 0

Reorder the terms:
-3 + 5x + -3x2 + x3 + -1(-3 + 2x)(x2 + -5x + 2) = 0

Reorder the terms:
-3 + 5x + -3x2 + x3 + -1(-3 + 2x)(2 + -5x + x2) = 0

Multiply (-3 + 2x) * (2 + -5x + x2)
-3 + 5x + -3x2 + x3 + -1(-3(2 + -5x + x2) + 2x * (2 + -5x + x2)) = 0
-3 + 5x + -3x2 + x3 + -1((2 * -3 + -5x * -3 + x2 * -3) + 2x * (2 + -5x + x2)) = 0
-3 + 5x + -3x2 + x3 + -1((-6 + 15x + -3x2) + 2x * (2 + -5x + x2)) = 0
-3 + 5x + -3x2 + x3 + -1(-6 + 15x + -3x2 + (2 * 2x + -5x * 2x + x2 * 2x)) = 0
-3 + 5x + -3x2 + x3 + -1(-6 + 15x + -3x2 + (4x + -10x2 + 2x3)) = 0

Reorder the terms:
-3 + 5x + -3x2 + x3 + -1(-6 + 15x + 4x + -3x2 + -10x2 + 2x3) = 0

Combine like terms: 15x + 4x = 19x
-3 + 5x + -3x2 + x3 + -1(-6 + 19x + -3x2 + -10x2 + 2x3) = 0

Combine like terms: -3x2 + -10x2 = -13x2
-3 + 5x + -3x2 + x3 + -1(-6 + 19x + -13x2 + 2x3) = 0
-3 + 5x + -3x2 + x3 + (-6 * -1 + 19x * -1 + -13x2 * -1 + 2x3 * -1) = 0
-3 + 5x + -3x2 + x3 + (6 + -19x + 13x2 + -2x3) = 0

Reorder the terms:
-3 + 6 + 5x + -19x + -3x2 + 13x2 + x3 + -2x3 = 0

Combine like terms: -3 + 6 = 3
3 + 5x + -19x + -3x2 + 13x2 + x3 + -2x3 = 0

Combine like terms: 5x + -19x = -14x
3 + -14x + -3x2 + 13x2 + x3 + -2x3 = 0

Combine like terms: -3x2 + 13x2 = 10x2
3 + -14x + 10x2 + x3 + -2x3 = 0

Combine like terms: x3 + -2x3 = -1x3
3 + -14x + 10x2 + -1x3 = 0

Solving
3 + -14x + 10x2 + -1x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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