(x^2-4x-5)(3x^2+81)=0

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Solution for (x^2-4x-5)(3x^2+81)=0 equation: 


Simplifying
(x2 + -4x + -5)(3x2 + 81) = 0

Reorder the terms:
(-5 + -4x + x2)(3x2 + 81) = 0

Reorder the terms:
(-5 + -4x + x2)(81 + 3x2) = 0

Multiply (-5 + -4x + x2) * (81 + 3x2)
(-5(81 + 3x2) + -4x * (81 + 3x2) + x2(81 + 3x2)) = 0
((81 * -5 + 3x2 * -5) + -4x * (81 + 3x2) + x2(81 + 3x2)) = 0
((-405 + -15x2) + -4x * (81 + 3x2) + x2(81 + 3x2)) = 0
(-405 + -15x2 + (81 * -4x + 3x2 * -4x) + x2(81 + 3x2)) = 0
(-405 + -15x2 + (-324x + -12x3) + x2(81 + 3x2)) = 0
(-405 + -15x2 + -324x + -12x3 + (81 * x2 + 3x2 * x2)) = 0
(-405 + -15x2 + -324x + -12x3 + (81x2 + 3x4)) = 0

Reorder the terms:
(-405 + -324x + -15x2 + 81x2 + -12x3 + 3x4) = 0

Combine like terms: -15x2 + 81x2 = 66x2
(-405 + -324x + 66x2 + -12x3 + 3x4) = 0

Solving
-405 + -324x + 66x2 + -12x3 + 3x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-135 + -108x + 22x2 + -4x3 + x4) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-135 + -108x + 22x2 + -4x3 + x4)' equal to zero and attempt to solve:

Simplifying
-135 + -108x + 22x2 + -4x3 + x4 = 0

Solving
-135 + -108x + 22x2 + -4x3 + x4 = 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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