6x^3+x^2+40x=

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Solution for 6x^3+x^2+40x= equation: 


Simplifying
6x3 + x2 + 40x = 0

Reorder the terms:
40x + x2 + 6x3 = 0

Solving
40x + x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(40 + x + 6x2) = 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 '(40 + x + 6x2)' equal to zero and attempt to solve:

Simplifying
40 + x + 6x2 = 0

Solving
40 + x + 6x2 = 0

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

Divide each side by '6'.
6.666666667 + 0.1666666667x + x2 = 0

Move the constant term to the right:

Add '-6.666666667' to each side of the equation.
6.666666667 + 0.1666666667x + -6.666666667 + x2 = 0 + -6.666666667

Reorder the terms:
6.666666667 + -6.666666667 + 0.1666666667x + x2 = 0 + -6.666666667

Combine like terms: 6.666666667 + -6.666666667 = 0.000000000
0.000000000 + 0.1666666667x + x2 = 0 + -6.666666667
0.1666666667x + x2 = 0 + -6.666666667

Combine like terms: 0 + -6.666666667 = -6.666666667
0.1666666667x + x2 = -6.666666667

The x term is x.  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.
0.1666666667x + 0.25 + x2 = -6.666666667 + 0.25

Reorder the terms:
0.25 + 0.1666666667x + x2 = -6.666666667 + 0.25

Combine like terms: -6.666666667 + 0.25 = -6.416666667
0.25 + 0.1666666667x + x2 = -6.416666667

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -6.416666667

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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