-6x^6-30x^5+144x^4=

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Solution for -6x^6-30x^5+144x^4= equation:


Simplifying
-6x6 + -30x5 + 144x4 = 0

Reorder the terms:
144x4 + -30x5 + -6x6 = 0

Solving
144x4 + -30x5 + -6x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x4'.
6x4(24 + -5x + -1x2) = 0

Factor a trinomial.
6x4((3 + -1x)(8 + x)) = 0

Ignore the factor 6.

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

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 = {3, -8}

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