20x^3+6x^2+2x=

Solution for 20x^3+6x^2+2x= equation:

Simplifying
20x3 + 6x2 + 2x = 0

Reorder the terms:
2x + 6x2 + 20x3 = 0

Solving
2x + 6x2 + 20x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(1 + 3x + 10x2) = 0

Ignore the factor 2.
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 + 3x + 10x2)' equal to zero and attempt to solve:

Simplifying
1 + 3x + 10x2 = 0

Solving
1 + 3x + 10x2 = 0

Begin completing the square.  Divide all terms by
10 the coefficient of the squared term: 

Divide each side by '10'.
0.1 + 0.3x + x2 = 0.0

Move the constant term to the right:

Add '-0.1' to each side of the equation.
0.1 + 0.3x + -0.1 + x2 = 0.0 + -0.1

Reorder the terms:
0.1 + -0.1 + 0.3x + x2 = 0.0 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.3x + x2 = 0.0 + -0.1
0.3x + x2 = 0.0 + -0.1

Combine like terms: 0.0 + -0.1 = -0.1
0.3x + x2 = -0.1

The x term is 0.3x.  Take half its coefficient (0.15).
Square it (0.0225) and add it to both sides.

Add '0.0225' to each side of the equation.
0.3x + 0.0225 + x2 = -0.1 + 0.0225

Reorder the terms:
0.0225 + 0.3x + x2 = -0.1 + 0.0225

Combine like terms: -0.1 + 0.0225 = -0.0775
0.0225 + 0.3x + x2 = -0.0775

Factor a perfect square on the left side:
(x + 0.15)(x + 0.15) = -0.0775

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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