16x^4-11x^3+16x^2=

Solution for 16x^4-11x^3+16x^2= equation:

Simplifying
16x4 + -11x3 + 16x2 = 0

Reorder the terms:
16x2 + -11x3 + 16x4 = 0

Solving
16x2 + -11x3 + 16x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(16 + -11x + 16x2) = 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 + -11x + 16x2)' equal to zero and attempt to solve:

Simplifying
16 + -11x + 16x2 = 0

Solving
16 + -11x + 16x2 = 0

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

Divide each side by '16'.
1 + -0.6875x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.6875x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.6875x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.6875x + x2 = 0 + -1
-0.6875x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.6875x + x2 = -1

The x term is -0.6875x.  Take half its coefficient (-0.34375).
Square it (0.1181640625) and add it to both sides.

Add '0.1181640625' to each side of the equation.
-0.6875x + 0.1181640625 + x2 = -1 + 0.1181640625

Reorder the terms:
0.1181640625 + -0.6875x + x2 = -1 + 0.1181640625

Combine like terms: -1 + 0.1181640625 = -0.8818359375
0.1181640625 + -0.6875x + x2 = -0.8818359375

Factor a perfect square on the left side:
(x + -0.34375)(x + -0.34375) = -0.8818359375

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}