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

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


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

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

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

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

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

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

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

Reorder the terms:
-3 + 5x + -5x2 + 2x3 = -3x + 2x2

Solving
-3 + 5x + -5x2 + 2x3 = -3x + 2x2

Solving for variable 'x'.

Reorder the terms:
-3 + 5x + 3x + -5x2 + -2x2 + 2x3 = -3x + 2x2 + 3x + -2x2

Combine like terms: 5x + 3x = 8x
-3 + 8x + -5x2 + -2x2 + 2x3 = -3x + 2x2 + 3x + -2x2

Combine like terms: -5x2 + -2x2 = -7x2
-3 + 8x + -7x2 + 2x3 = -3x + 2x2 + 3x + -2x2

Reorder the terms:
-3 + 8x + -7x2 + 2x3 = -3x + 3x + 2x2 + -2x2

Combine like terms: -3x + 3x = 0
-3 + 8x + -7x2 + 2x3 = 0 + 2x2 + -2x2
-3 + 8x + -7x2 + 2x3 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-3 + 8x + -7x2 + 2x3 = 0

The solution to this equation could not be determined.

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