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

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


Simplifying
(x4 + 3x)(x2 + 5x + 3) = 0

Reorder the terms:
(3x + x4)(x2 + 5x + 3) = 0

Reorder the terms:
(3x + x4)(3 + 5x + x2) = 0

Multiply (3x + x4) * (3 + 5x + x2)
(3x * (3 + 5x + x2) + x4(3 + 5x + x2)) = 0
((3 * 3x + 5x * 3x + x2 * 3x) + x4(3 + 5x + x2)) = 0
((9x + 15x2 + 3x3) + x4(3 + 5x + x2)) = 0
(9x + 15x2 + 3x3 + (3 * x4 + 5x * x4 + x2 * x4)) = 0
(9x + 15x2 + 3x3 + (3x4 + 5x5 + x6)) = 0
(9x + 15x2 + 3x3 + 3x4 + 5x5 + x6) = 0

Solving
9x + 15x2 + 3x3 + 3x4 + 5x5 + x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(9 + 15x + 3x2 + 3x3 + 5x4 + x5) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(9 + 15x + 3x2 + 3x3 + 5x4 + x5)' equal to zero and attempt to solve: Simplifying 9 + 15x + 3x2 + 3x3 + 5x4 + x5 = 0 Solving 9 + 15x + 3x2 + 3x3 + 5x4 + x5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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