X(6+x+10x^2)=0

Solution for X(6+x+10x^2)=0 equation:

Simplifying
X(6 + x + 10x2) = 0
(6 * X + x * X + 10x2 * X) = 0
(6X + xX + 10x2X) = 0

Solving
6X + xX + 10x2X = 0

Solving for variable 'X'.

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

Factor out the Greatest Common Factor (GCF), 'X'.
X(6 + x + 10x2) = 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 '(6 + x + 10x2)' equal to zero and attempt to solve:

Simplifying
6 + x + 10x2 = 0

Solving
6 + x + 10x2 = 0

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

Add '-6' to each side of the equation.
6 + x + -6 + 10x2 = 0 + -6

Reorder the terms:
6 + -6 + x + 10x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x + 10x2 = 0 + -6
x + 10x2 = 0 + -6

Combine like terms: 0 + -6 = -6
x + 10x2 = -6

Add '-1x' to each side of the equation.
x + -1x + 10x2 = -6 + -1x

Combine like terms: x + -1x = 0
0 + 10x2 = -6 + -1x
10x2 = -6 + -1x

Add '-10x2' to each side of the equation.
10x2 + -10x2 = -6 + -1x + -10x2

Combine like terms: 10x2 + -10x2 = 0
0 = -6 + -1x + -10x2

Simplifying
0 = -6 + -1x + -10x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
X = {0}