(3x^2+x-5)(x^4-4x^3+9x-3)=2x-1

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Solution for (3x^2+x-5)(x^4-4x^3+9x-3)=2x-1 equation: 


Simplifying
(3x2 + x + -5)(x4 + -4x3 + 9x + -3) = 2x + -1

Reorder the terms:
(-5 + x + 3x2)(x4 + -4x3 + 9x + -3) = 2x + -1

Reorder the terms:
(-5 + x + 3x2)(-3 + 9x + -4x3 + x4) = 2x + -1

Multiply (-5 + x + 3x2) * (-3 + 9x + -4x3 + x4)
(-5(-3 + 9x + -4x3 + x4) + x(-3 + 9x + -4x3 + x4) + 3x2 * (-3 + 9x + -4x3 + x4)) = 2x + -1
((-3 * -5 + 9x * -5 + -4x3 * -5 + x4 * -5) + x(-3 + 9x + -4x3 + x4) + 3x2 * (-3 + 9x + -4x3 + x4)) = 2x + -1
((15 + -45x + 20x3 + -5x4) + x(-3 + 9x + -4x3 + x4) + 3x2 * (-3 + 9x + -4x3 + x4)) = 2x + -1
(15 + -45x + 20x3 + -5x4 + (-3 * x + 9x * x + -4x3 * x + x4 * x) + 3x2 * (-3 + 9x + -4x3 + x4)) = 2x + -1
(15 + -45x + 20x3 + -5x4 + (-3x + 9x2 + -4x4 + x5) + 3x2 * (-3 + 9x + -4x3 + x4)) = 2x + -1
(15 + -45x + 20x3 + -5x4 + -3x + 9x2 + -4x4 + x5 + (-3 * 3x2 + 9x * 3x2 + -4x3 * 3x2 + x4 * 3x2)) = 2x + -1
(15 + -45x + 20x3 + -5x4 + -3x + 9x2 + -4x4 + x5 + (-9x2 + 27x3 + -12x5 + 3x6)) = 2x + -1

Reorder the terms:
(15 + -45x + -3x + 9x2 + -9x2 + 20x3 + 27x3 + -5x4 + -4x4 + x5 + -12x5 + 3x6) = 2x + -1

Combine like terms: -45x + -3x = -48x
(15 + -48x + 9x2 + -9x2 + 20x3 + 27x3 + -5x4 + -4x4 + x5 + -12x5 + 3x6) = 2x + -1

Combine like terms: 9x2 + -9x2 = 0
(15 + -48x + 0 + 20x3 + 27x3 + -5x4 + -4x4 + x5 + -12x5 + 3x6) = 2x + -1
(15 + -48x + 20x3 + 27x3 + -5x4 + -4x4 + x5 + -12x5 + 3x6) = 2x + -1

Combine like terms: 20x3 + 27x3 = 47x3
(15 + -48x + 47x3 + -5x4 + -4x4 + x5 + -12x5 + 3x6) = 2x + -1

Combine like terms: -5x4 + -4x4 = -9x4
(15 + -48x + 47x3 + -9x4 + x5 + -12x5 + 3x6) = 2x + -1

Combine like terms: x5 + -12x5 = -11x5
(15 + -48x + 47x3 + -9x4 + -11x5 + 3x6) = 2x + -1

Reorder the terms:
15 + -48x + 47x3 + -9x4 + -11x5 + 3x6 = -1 + 2x

Solving
15 + -48x + 47x3 + -9x4 + -11x5 + 3x6 = -1 + 2x

Solving for variable 'x'.

Reorder the terms:
15 + 1 + -48x + -2x + 47x3 + -9x4 + -11x5 + 3x6 = -1 + 2x + 1 + -2x

Combine like terms: 15 + 1 = 16
16 + -48x + -2x + 47x3 + -9x4 + -11x5 + 3x6 = -1 + 2x + 1 + -2x

Combine like terms: -48x + -2x = -50x
16 + -50x + 47x3 + -9x4 + -11x5 + 3x6 = -1 + 2x + 1 + -2x

Reorder the terms:
16 + -50x + 47x3 + -9x4 + -11x5 + 3x6 = -1 + 1 + 2x + -2x

Combine like terms: -1 + 1 = 0
16 + -50x + 47x3 + -9x4 + -11x5 + 3x6 = 0 + 2x + -2x
16 + -50x + 47x3 + -9x4 + -11x5 + 3x6 = 2x + -2x

Combine like terms: 2x + -2x = 0
16 + -50x + 47x3 + -9x4 + -11x5 + 3x6 = 0

The solution to this equation could not be determined.

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