(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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