(2x^2-5x+6)*(3x^4-5x^3-6x^2+4x-3)=

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Solution for (2x^2-5x+6)*(3x^4-5x^3-6x^2+4x-3)= equation: 


Simplifying
(2x2 + -5x + 6)(3x4 + -5x3 + -6x2 + 4x + -3) = 0

Reorder the terms:
(6 + -5x + 2x2)(3x4 + -5x3 + -6x2 + 4x + -3) = 0

Reorder the terms:
(6 + -5x + 2x2)(-3 + 4x + -6x2 + -5x3 + 3x4) = 0

Multiply (6 + -5x + 2x2) * (-3 + 4x + -6x2 + -5x3 + 3x4)
(6(-3 + 4x + -6x2 + -5x3 + 3x4) + -5x * (-3 + 4x + -6x2 + -5x3 + 3x4) + 2x2 * (-3 + 4x + -6x2 + -5x3 + 3x4)) = 0
((-3 * 6 + 4x * 6 + -6x2 * 6 + -5x3 * 6 + 3x4 * 6) + -5x * (-3 + 4x + -6x2 + -5x3 + 3x4) + 2x2 * (-3 + 4x + -6x2 + -5x3 + 3x4)) = 0
((-18 + 24x + -36x2 + -30x3 + 18x4) + -5x * (-3 + 4x + -6x2 + -5x3 + 3x4) + 2x2 * (-3 + 4x + -6x2 + -5x3 + 3x4)) = 0
(-18 + 24x + -36x2 + -30x3 + 18x4 + (-3 * -5x + 4x * -5x + -6x2 * -5x + -5x3 * -5x + 3x4 * -5x) + 2x2 * (-3 + 4x + -6x2 + -5x3 + 3x4)) = 0
(-18 + 24x + -36x2 + -30x3 + 18x4 + (15x + -20x2 + 30x3 + 25x4 + -15x5) + 2x2 * (-3 + 4x + -6x2 + -5x3 + 3x4)) = 0
(-18 + 24x + -36x2 + -30x3 + 18x4 + 15x + -20x2 + 30x3 + 25x4 + -15x5 + (-3 * 2x2 + 4x * 2x2 + -6x2 * 2x2 + -5x3 * 2x2 + 3x4 * 2x2)) = 0
(-18 + 24x + -36x2 + -30x3 + 18x4 + 15x + -20x2 + 30x3 + 25x4 + -15x5 + (-6x2 + 8x3 + -12x4 + -10x5 + 6x6)) = 0

Reorder the terms:
(-18 + 24x + 15x + -36x2 + -20x2 + -6x2 + -30x3 + 30x3 + 8x3 + 18x4 + 25x4 + -12x4 + -15x5 + -10x5 + 6x6) = 0

Combine like terms: 24x + 15x = 39x
(-18 + 39x + -36x2 + -20x2 + -6x2 + -30x3 + 30x3 + 8x3 + 18x4 + 25x4 + -12x4 + -15x5 + -10x5 + 6x6) = 0

Combine like terms: -36x2 + -20x2 = -56x2
(-18 + 39x + -56x2 + -6x2 + -30x3 + 30x3 + 8x3 + 18x4 + 25x4 + -12x4 + -15x5 + -10x5 + 6x6) = 0

Combine like terms: -56x2 + -6x2 = -62x2
(-18 + 39x + -62x2 + -30x3 + 30x3 + 8x3 + 18x4 + 25x4 + -12x4 + -15x5 + -10x5 + 6x6) = 0

Combine like terms: -30x3 + 30x3 = 0
(-18 + 39x + -62x2 + 0 + 8x3 + 18x4 + 25x4 + -12x4 + -15x5 + -10x5 + 6x6) = 0
(-18 + 39x + -62x2 + 8x3 + 18x4 + 25x4 + -12x4 + -15x5 + -10x5 + 6x6) = 0

Combine like terms: 18x4 + 25x4 = 43x4
(-18 + 39x + -62x2 + 8x3 + 43x4 + -12x4 + -15x5 + -10x5 + 6x6) = 0

Combine like terms: 43x4 + -12x4 = 31x4
(-18 + 39x + -62x2 + 8x3 + 31x4 + -15x5 + -10x5 + 6x6) = 0

Combine like terms: -15x5 + -10x5 = -25x5
(-18 + 39x + -62x2 + 8x3 + 31x4 + -25x5 + 6x6) = 0

Solving
-18 + 39x + -62x2 + 8x3 + 31x4 + -25x5 + 6x6 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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