3x^6+30x^5+72x^4=0

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Solution for 3x^6+30x^5+72x^4=0 equation:


Simplifying
3x6 + 30x5 + 72x4 = 0

Reorder the terms:
72x4 + 30x5 + 3x6 = 0

Solving
72x4 + 30x5 + 3x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x4'.
3x4(24 + 10x + x2) = 0

Factor a trinomial.
3x4((6 + x)(4 + x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6

Subproblem 3

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Solution

x = {-6, -4}

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