50x^3-40x^2+50x=

Solution for 50x^3-40x^2+50x= equation:

Simplifying
50x3 + -40x2 + 50x = 0

Reorder the terms:
50x + -40x2 + 50x3 = 0

Solving
50x + -40x2 + 50x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10x'.
10x(5 + -4x + 5x2) = 0

Ignore the factor 10.
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 '(5 + -4x + 5x2)' equal to zero and attempt to solve:

Simplifying
5 + -4x + 5x2 = 0

Solving
5 + -4x + 5x2 = 0

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

Divide each side by '5'.
1 + -0.8x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.8x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.8x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.8x + x2 = 0 + -1
-0.8x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.8x + x2 = -1

The x term is -0.8x.  Take half its coefficient (-0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
-0.8x + 0.16 + x2 = -1 + 0.16

Reorder the terms:
0.16 + -0.8x + x2 = -1 + 0.16

Combine like terms: -1 + 0.16 = -0.84
0.16 + -0.8x + x2 = -0.84

Factor a perfect square on the left side:
(x + -0.4)(x + -0.4) = -0.84

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}