(6x^4-x+4)(-5x^4)+(-x^5+2)(24x^3-1)=0

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Solution for (6x^4-x+4)(-5x^4)+(-x^5+2)(24x^3-1)=0 equation: 


Simplifying
(6x4 + -1x + 4)(-5x4) + (-1x5 + 2)(24x3 + -1) = 0

Reorder the terms:
(4 + -1x + 6x4)(-5x4) + (-1x5 + 2)(24x3 + -1) = 0

Remove parenthesis around (-5x4)
(4 + -1x + 6x4) * -5x4 + (-1x5 + 2)(24x3 + -1) = 0

Reorder the terms for easier multiplication:
-5x4(4 + -1x + 6x4) + (-1x5 + 2)(24x3 + -1) = 0
(4 * -5x4 + -1x * -5x4 + 6x4 * -5x4) + (-1x5 + 2)(24x3 + -1) = 0
(-20x4 + 5x5 + -30x8) + (-1x5 + 2)(24x3 + -1) = 0

Reorder the terms:
-20x4 + 5x5 + -30x8 + (2 + -1x5)(24x3 + -1) = 0

Reorder the terms:
-20x4 + 5x5 + -30x8 + (2 + -1x5)(-1 + 24x3) = 0

Multiply (2 + -1x5) * (-1 + 24x3)
-20x4 + 5x5 + -30x8 + (2(-1 + 24x3) + -1x5 * (-1 + 24x3)) = 0
-20x4 + 5x5 + -30x8 + ((-1 * 2 + 24x3 * 2) + -1x5 * (-1 + 24x3)) = 0
-20x4 + 5x5 + -30x8 + ((-2 + 48x3) + -1x5 * (-1 + 24x3)) = 0
-20x4 + 5x5 + -30x8 + (-2 + 48x3 + (-1 * -1x5 + 24x3 * -1x5)) = 0
-20x4 + 5x5 + -30x8 + (-2 + 48x3 + (1x5 + -24x8)) = 0
-20x4 + 5x5 + -30x8 + (-2 + 48x3 + 1x5 + -24x8) = 0

Reorder the terms:
-2 + 48x3 + -20x4 + 5x5 + 1x5 + -30x8 + -24x8 = 0

Combine like terms: 5x5 + 1x5 = 6x5
-2 + 48x3 + -20x4 + 6x5 + -30x8 + -24x8 = 0

Combine like terms: -30x8 + -24x8 = -54x8
-2 + 48x3 + -20x4 + 6x5 + -54x8 = 0

Solving
-2 + 48x3 + -20x4 + 6x5 + -54x8 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 24x3 + -10x4 + 3x5 + -27x8) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + 24x3 + -10x4 + 3x5 + -27x8)' equal to zero and attempt to solve:

Simplifying
-1 + 24x3 + -10x4 + 3x5 + -27x8 = 0

Solving
-1 + 24x3 + -10x4 + 3x5 + -27x8 = 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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