2x(x^2-5x+50)=0

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Solution for 2x(x^2-5x+50)=0 equation: 


Simplifying
2x(x2 + -5x + 50) = 0

Reorder the terms:
2x(50 + -5x + x2) = 0
(50 * 2x + -5x * 2x + x2 * 2x) = 0
(100x + -10x2 + 2x3) = 0

Solving
100x + -10x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(50 + -5x + x2) = 0

Ignore the factor 2.

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 '(50 + -5x + x2)' equal to zero and attempt to solve:

Simplifying
50 + -5x + x2 = 0

Solving
50 + -5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-50' to each side of the equation.
50 + -5x + -50 + x2 = 0 + -50

Reorder the terms:
50 + -50 + -5x + x2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -5x + x2 = 0 + -50
-5x + x2 = 0 + -50

Combine like terms: 0 + -50 = -50
-5x + x2 = -50

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -50 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -50 + 6.25

Combine like terms: -50 + 6.25 = -43.75
6.25 + -5x + x2 = -43.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -43.75

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}

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