x(x^2-4x+75)=0

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Solution for x(x^2-4x+75)=0 equation: 


Simplifying
x(x2 + -4x + 75) = 0

Reorder the terms:
x(75 + -4x + x2) = 0
(75 * x + -4x * x + x2 * x) = 0
(75x + -4x2 + x3) = 0

Solving
75x + -4x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(75 + -4x + 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 '(75 + -4x + x2)' equal to zero and attempt to solve:

Simplifying
75 + -4x + x2 = 0

Solving
75 + -4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-75' to each side of the equation.
75 + -4x + -75 + x2 = 0 + -75

Reorder the terms:
75 + -75 + -4x + x2 = 0 + -75

Combine like terms: 75 + -75 = 0
0 + -4x + x2 = 0 + -75
-4x + x2 = 0 + -75

Combine like terms: 0 + -75 = -75
-4x + x2 = -75

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -75 + 4

Reorder the terms:
4 + -4x + x2 = -75 + 4

Combine like terms: -75 + 4 = -71
4 + -4x + x2 = -71

Factor a perfect square on the left side:
(x + -2)(x + -2) = -71

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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