x(x^2-x+34)=0

Solution for x(x^2-x+34)=0 equation:

Simplifying
x(x2 + -1x + 34) = 0

Reorder the terms:
x(34 + -1x + x2) = 0
(34 * x + -1x * x + x2 * x) = 0
(34x + -1x2 + x3) = 0

Solving
34x + -1x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(34 + -1x + x2) = 0

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 '(34 + -1x + x2)' equal to zero and attempt to solve:

Simplifying
34 + -1x + x2 = 0

Solving
34 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-34' to each side of the equation.
34 + -1x + -34 + x2 = 0 + -34

Reorder the terms:
34 + -34 + -1x + x2 = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -1x + x2 = 0 + -34
-1x + x2 = 0 + -34

Combine like terms: 0 + -34 = -34
-1x + x2 = -34

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -34 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -34 + 0.25

Combine like terms: -34 + 0.25 = -33.75
0.25 + -1x + x2 = -33.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -33.75

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}