63x^3+108x^2+81x=

Solution for 63x^3+108x^2+81x= equation:

Simplifying
63x3 + 108x2 + 81x = 0

Reorder the terms:
81x + 108x2 + 63x3 = 0

Solving
81x + 108x2 + 63x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9x'.
9x(9 + 12x + 7x2) = 0

Ignore the factor 9.
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 '(9 + 12x + 7x2)' equal to zero and attempt to solve:

Simplifying
9 + 12x + 7x2 = 0

Solving
9 + 12x + 7x2 = 0

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

Divide each side by '7'.
1.285714286 + 1.714285714x + x2 = 0

Move the constant term to the right:

Add '-1.285714286' to each side of the equation.
1.285714286 + 1.714285714x + -1.285714286 + x2 = 0 + -1.285714286

Reorder the terms:
1.285714286 + -1.285714286 + 1.714285714x + x2 = 0 + -1.285714286

Combine like terms: 1.285714286 + -1.285714286 = 0.000000000
0.000000000 + 1.714285714x + x2 = 0 + -1.285714286
1.714285714x + x2 = 0 + -1.285714286

Combine like terms: 0 + -1.285714286 = -1.285714286
1.714285714x + x2 = -1.285714286

The x term is 1.714285714x.  Take half its coefficient (0.857142857).
Square it (0.7346938773) and add it to both sides.

Add '0.7346938773' to each side of the equation.
1.714285714x + 0.7346938773 + x2 = -1.285714286 + 0.7346938773

Reorder the terms:
0.7346938773 + 1.714285714x + x2 = -1.285714286 + 0.7346938773

Combine like terms: -1.285714286 + 0.7346938773 = -0.5510204087
0.7346938773 + 1.714285714x + x2 = -0.5510204087

Factor a perfect square on the left side:
(x + 0.857142857)(x + 0.857142857) = -0.5510204087

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}