17x^4+13x^3+17x^2=

Solution for 17x^4+13x^3+17x^2= equation:

Simplifying
17x4 + 13x3 + 17x2 = 0

Reorder the terms:
17x2 + 13x3 + 17x4 = 0

Solving
17x2 + 13x3 + 17x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(17 + 13x + 17x2) = 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 '(17 + 13x + 17x2)' equal to zero and attempt to solve:

Simplifying
17 + 13x + 17x2 = 0

Solving
17 + 13x + 17x2 = 0

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

Divide each side by '17'.
1 + 0.7647058824x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 0.7647058824x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 0.7647058824x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 0.7647058824x + x2 = 0 + -1
0.7647058824x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
0.7647058824x + x2 = -1

The x term is 0.7647058824x.  Take half its coefficient (0.3823529412).
Square it (0.1461937716) and add it to both sides.

Add '0.1461937716' to each side of the equation.
0.7647058824x + 0.1461937716 + x2 = -1 + 0.1461937716

Reorder the terms:
0.1461937716 + 0.7647058824x + x2 = -1 + 0.1461937716

Combine like terms: -1 + 0.1461937716 = -0.8538062284
0.1461937716 + 0.7647058824x + x2 = -0.8538062284

Factor a perfect square on the left side:
(x + 0.3823529412)(x + 0.3823529412) = -0.8538062284

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}