-3x^6-9x^5+120x^4=

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Solution for -3x^6-9x^5+120x^4= equation:


Simplifying
-3x6 + -9x5 + 120x4 = 0

Reorder the terms:
120x4 + -9x5 + -3x6 = 0

Solving
120x4 + -9x5 + -3x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x4'.
3x4(40 + -3x + -1x2) = 0

Factor a trinomial.
3x4((5 + -1x)(8 + 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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Subproblem 3

Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8

Solution

x = {5, -8}

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