9X^4-23X^3+16X^2=0

Solution for 9X^4-23X^3+16X^2=0 equation:

Simplifying
9X4 + -23X3 + 16X2 = 0

Reorder the terms:
16X2 + -23X3 + 9X4 = 0

Solving
16X2 + -23X3 + 9X4 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X2'.
X2(16 + -23X + 9X2) = 0

Subproblem 1
Set the factor 'X2' equal to zero and attempt to solve:

Simplifying
X2 = 0

Solving
X2 = 0

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

Simplifying
X2 = 0

Take the square root of each side:
X = {0}
Subproblem 2
Set the factor '(16 + -23X + 9X2)' equal to zero and attempt to solve:

Simplifying
16 + -23X + 9X2 = 0

Solving
16 + -23X + 9X2 = 0

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

Divide each side by '9'.
1.777777778 + -2.555555556X + X2 = 0

Move the constant term to the right:

Add '-1.777777778' to each side of the equation.
1.777777778 + -2.555555556X + -1.777777778 + X2 = 0 + -1.777777778

Reorder the terms:
1.777777778 + -1.777777778 + -2.555555556X + X2 = 0 + -1.777777778

Combine like terms: 1.777777778 + -1.777777778 = 0.000000000
0.000000000 + -2.555555556X + X2 = 0 + -1.777777778
-2.555555556X + X2 = 0 + -1.777777778

Combine like terms: 0 + -1.777777778 = -1.777777778
-2.555555556X + X2 = -1.777777778

The X term is -2.555555556X.  Take half its coefficient (-1.277777778).
Square it (1.632716050) and add it to both sides.

Add '1.632716050' to each side of the equation.
-2.555555556X + 1.632716050 + X2 = -1.777777778 + 1.632716050

Reorder the terms:
1.632716050 + -2.555555556X + X2 = -1.777777778 + 1.632716050

Combine like terms: -1.777777778 + 1.632716050 = -0.145061728
1.632716050 + -2.555555556X + X2 = -0.145061728

Factor a perfect square on the left side:
(X + -1.277777778)(X + -1.277777778) = -0.145061728

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}