(4x^2-7x-5)(5x^2+13x+3)(3x-x^2-8)=0

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Solution for (4x^2-7x-5)(5x^2+13x+3)(3x-x^2-8)=0 equation:


Simplifying
(4x2 + -7x + -5)(5x2 + 13x + 3)(3x + -1x2 + -8) = 0

Reorder the terms:
(-5 + -7x + 4x2)(5x2 + 13x + 3)(3x + -1x2 + -8) = 0

Reorder the terms:
(-5 + -7x + 4x2)(3 + 13x + 5x2)(3x + -1x2 + -8) = 0

Reorder the terms:
(-5 + -7x + 4x2)(3 + 13x + 5x2)(-8 + 3x + -1x2) = 0

Multiply (-5 + -7x + 4x2) * (3 + 13x + 5x2)
(-5(3 + 13x + 5x2) + -7x * (3 + 13x + 5x2) + 4x2 * (3 + 13x + 5x2))(-8 + 3x + -1x2) = 0
((3 * -5 + 13x * -5 + 5x2 * -5) + -7x * (3 + 13x + 5x2) + 4x2 * (3 + 13x + 5x2))(-8 + 3x + -1x2) = 0
((-15 + -65x + -25x2) + -7x * (3 + 13x + 5x2) + 4x2 * (3 + 13x + 5x2))(-8 + 3x + -1x2) = 0
(-15 + -65x + -25x2 + (3 * -7x + 13x * -7x + 5x2 * -7x) + 4x2 * (3 + 13x + 5x2))(-8 + 3x + -1x2) = 0
(-15 + -65x + -25x2 + (-21x + -91x2 + -35x3) + 4x2 * (3 + 13x + 5x2))(-8 + 3x + -1x2) = 0
(-15 + -65x + -25x2 + -21x + -91x2 + -35x3 + (3 * 4x2 + 13x * 4x2 + 5x2 * 4x2))(-8 + 3x + -1x2) = 0
(-15 + -65x + -25x2 + -21x + -91x2 + -35x3 + (12x2 + 52x3 + 20x4))(-8 + 3x + -1x2) = 0

Reorder the terms:
(-15 + -65x + -21x + -25x2 + -91x2 + 12x2 + -35x3 + 52x3 + 20x4)(-8 + 3x + -1x2) = 0

Combine like terms: -65x + -21x = -86x
(-15 + -86x + -25x2 + -91x2 + 12x2 + -35x3 + 52x3 + 20x4)(-8 + 3x + -1x2) = 0

Combine like terms: -25x2 + -91x2 = -116x2
(-15 + -86x + -116x2 + 12x2 + -35x3 + 52x3 + 20x4)(-8 + 3x + -1x2) = 0

Combine like terms: -116x2 + 12x2 = -104x2
(-15 + -86x + -104x2 + -35x3 + 52x3 + 20x4)(-8 + 3x + -1x2) = 0

Combine like terms: -35x3 + 52x3 = 17x3
(-15 + -86x + -104x2 + 17x3 + 20x4)(-8 + 3x + -1x2) = 0

Multiply (-15 + -86x + -104x2 + 17x3 + 20x4) * (-8 + 3x + -1x2)
(-15(-8 + 3x + -1x2) + -86x * (-8 + 3x + -1x2) + -104x2 * (-8 + 3x + -1x2) + 17x3 * (-8 + 3x + -1x2) + 20x4 * (-8 + 3x + -1x2)) = 0
((-8 * -15 + 3x * -15 + -1x2 * -15) + -86x * (-8 + 3x + -1x2) + -104x2 * (-8 + 3x + -1x2) + 17x3 * (-8 + 3x + -1x2) + 20x4 * (-8 + 3x + -1x2)) = 0
((120 + -45x + 15x2) + -86x * (-8 + 3x + -1x2) + -104x2 * (-8 + 3x + -1x2) + 17x3 * (-8 + 3x + -1x2) + 20x4 * (-8 + 3x + -1x2)) = 0
(120 + -45x + 15x2 + (-8 * -86x + 3x * -86x + -1x2 * -86x) + -104x2 * (-8 + 3x + -1x2) + 17x3 * (-8 + 3x + -1x2) + 20x4 * (-8 + 3x + -1x2)) = 0
(120 + -45x + 15x2 + (688x + -258x2 + 86x3) + -104x2 * (-8 + 3x + -1x2) + 17x3 * (-8 + 3x + -1x2) + 20x4 * (-8 + 3x + -1x2)) = 0
(120 + -45x + 15x2 + 688x + -258x2 + 86x3 + (-8 * -104x2 + 3x * -104x2 + -1x2 * -104x2) + 17x3 * (-8 + 3x + -1x2) + 20x4 * (-8 + 3x + -1x2)) = 0
(120 + -45x + 15x2 + 688x + -258x2 + 86x3 + (832x2 + -312x3 + 104x4) + 17x3 * (-8 + 3x + -1x2) + 20x4 * (-8 + 3x + -1x2)) = 0
(120 + -45x + 15x2 + 688x + -258x2 + 86x3 + 832x2 + -312x3 + 104x4 + (-8 * 17x3 + 3x * 17x3 + -1x2 * 17x3) + 20x4 * (-8 + 3x + -1x2)) = 0
(120 + -45x + 15x2 + 688x + -258x2 + 86x3 + 832x2 + -312x3 + 104x4 + (-136x3 + 51x4 + -17x5) + 20x4 * (-8 + 3x + -1x2)) = 0
(120 + -45x + 15x2 + 688x + -258x2 + 86x3 + 832x2 + -312x3 + 104x4 + -136x3 + 51x4 + -17x5 + (-8 * 20x4 + 3x * 20x4 + -1x2 * 20x4)) = 0
(120 + -45x + 15x2 + 688x + -258x2 + 86x3 + 832x2 + -312x3 + 104x4 + -136x3 + 51x4 + -17x5 + (-160x4 + 60x5 + -20x6)) = 0

Reorder the terms:
(120 + -45x + 688x + 15x2 + -258x2 + 832x2 + 86x3 + -312x3 + -136x3 + 104x4 + 51x4 + -160x4 + -17x5 + 60x5 + -20x6) = 0

Combine like terms: -45x + 688x = 643x
(120 + 643x + 15x2 + -258x2 + 832x2 + 86x3 + -312x3 + -136x3 + 104x4 + 51x4 + -160x4 + -17x5 + 60x5 + -20x6) = 0

Combine like terms: 15x2 + -258x2 = -243x2
(120 + 643x + -243x2 + 832x2 + 86x3 + -312x3 + -136x3 + 104x4 + 51x4 + -160x4 + -17x5 + 60x5 + -20x6) = 0

Combine like terms: -243x2 + 832x2 = 589x2
(120 + 643x + 589x2 + 86x3 + -312x3 + -136x3 + 104x4 + 51x4 + -160x4 + -17x5 + 60x5 + -20x6) = 0

Combine like terms: 86x3 + -312x3 = -226x3
(120 + 643x + 589x2 + -226x3 + -136x3 + 104x4 + 51x4 + -160x4 + -17x5 + 60x5 + -20x6) = 0

Combine like terms: -226x3 + -136x3 = -362x3
(120 + 643x + 589x2 + -362x3 + 104x4 + 51x4 + -160x4 + -17x5 + 60x5 + -20x6) = 0

Combine like terms: 104x4 + 51x4 = 155x4
(120 + 643x + 589x2 + -362x3 + 155x4 + -160x4 + -17x5 + 60x5 + -20x6) = 0

Combine like terms: 155x4 + -160x4 = -5x4
(120 + 643x + 589x2 + -362x3 + -5x4 + -17x5 + 60x5 + -20x6) = 0

Combine like terms: -17x5 + 60x5 = 43x5
(120 + 643x + 589x2 + -362x3 + -5x4 + 43x5 + -20x6) = 0

Solving
120 + 643x + 589x2 + -362x3 + -5x4 + 43x5 + -20x6 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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