6x^5-19x^3-7x=0

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Solution for 6x^5-19x^3-7x=0 equation: 


Simplifying
6x5 + -19x3 + -7x = 0

Reorder the terms:
-7x + -19x3 + 6x5 = 0

Solving
-7x + -19x3 + 6x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7 + -19x2 + 6x4) = 0

Factor a trinomial.
x((-1 + -3x2)(7 + -2x2)) = 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 '(-1 + -3x2)' equal to zero and attempt to solve:

Simplifying
-1 + -3x2 = 0

Solving
-1 + -3x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -3x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3x2 = 0 + 1
-3x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-3x2 = 1

Divide each side by '-3'.
x2 = -0.3333333333

Simplifying
x2 = -0.3333333333

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(7 + -2x2)' equal to zero and attempt to solve:

Simplifying
7 + -2x2 = 0

Solving
7 + -2x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -2x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x2 = 0 + -7
-2x2 = 0 + -7

Combine like terms: 0 + -7 = -7
-2x2 = -7

Divide each side by '-2'.
x2 = 3.5

Simplifying
x2 = 3.5

Take the square root of each side:
x = {-1.870828693, 1.870828693}
Solution
x = {0, -1.870828693, 1.870828693}

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