(6x^2-10x-24)*(6x^2-4x-16)=0

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Solution for (6x^2-10x-24)*(6x^2-4x-16)=0 equation: 


Simplifying
(6x2 + -10x + -24)(6x2 + -4x + -16) = 0

Reorder the terms:
(-24 + -10x + 6x2)(6x2 + -4x + -16) = 0

Reorder the terms:
(-24 + -10x + 6x2)(-16 + -4x + 6x2) = 0

Multiply (-24 + -10x + 6x2) * (-16 + -4x + 6x2)
(-24(-16 + -4x + 6x2) + -10x * (-16 + -4x + 6x2) + 6x2 * (-16 + -4x + 6x2)) = 0
((-16 * -24 + -4x * -24 + 6x2 * -24) + -10x * (-16 + -4x + 6x2) + 6x2 * (-16 + -4x + 6x2)) = 0
((384 + 96x + -144x2) + -10x * (-16 + -4x + 6x2) + 6x2 * (-16 + -4x + 6x2)) = 0
(384 + 96x + -144x2 + (-16 * -10x + -4x * -10x + 6x2 * -10x) + 6x2 * (-16 + -4x + 6x2)) = 0
(384 + 96x + -144x2 + (160x + 40x2 + -60x3) + 6x2 * (-16 + -4x + 6x2)) = 0
(384 + 96x + -144x2 + 160x + 40x2 + -60x3 + (-16 * 6x2 + -4x * 6x2 + 6x2 * 6x2)) = 0
(384 + 96x + -144x2 + 160x + 40x2 + -60x3 + (-96x2 + -24x3 + 36x4)) = 0

Reorder the terms:
(384 + 96x + 160x + -144x2 + 40x2 + -96x2 + -60x3 + -24x3 + 36x4) = 0

Combine like terms: 96x + 160x = 256x
(384 + 256x + -144x2 + 40x2 + -96x2 + -60x3 + -24x3 + 36x4) = 0

Combine like terms: -144x2 + 40x2 = -104x2
(384 + 256x + -104x2 + -96x2 + -60x3 + -24x3 + 36x4) = 0

Combine like terms: -104x2 + -96x2 = -200x2
(384 + 256x + -200x2 + -60x3 + -24x3 + 36x4) = 0

Combine like terms: -60x3 + -24x3 = -84x3
(384 + 256x + -200x2 + -84x3 + 36x4) = 0

Solving
384 + 256x + -200x2 + -84x3 + 36x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(96 + 64x + -50x2 + -21x3 + 9x4) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(96 + 64x + -50x2 + -21x3 + 9x4)' equal to zero and attempt to solve:

Simplifying
96 + 64x + -50x2 + -21x3 + 9x4 = 0

Solving
96 + 64x + -50x2 + -21x3 + 9x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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