3x^3+6x^2+11x=0

Simple and best practice solution for 3x^3+6x^2+11x=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 3x^3+6x^2+11x=0 equation: 


Simplifying
3x3 + 6x2 + 11x = 0

Reorder the terms:
11x + 6x2 + 3x3 = 0

Solving
11x + 6x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(11 + 6x + 3x2) = 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 '(11 + 6x + 3x2)' equal to zero and attempt to solve:

Simplifying
11 + 6x + 3x2 = 0

Solving
11 + 6x + 3x2 = 0

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

Divide each side by '3'.
3.666666667 + 2x + x2 = 0

Move the constant term to the right:

Add '-3.666666667' to each side of the equation.
3.666666667 + 2x + -3.666666667 + x2 = 0 + -3.666666667

Reorder the terms:
3.666666667 + -3.666666667 + 2x + x2 = 0 + -3.666666667

Combine like terms: 3.666666667 + -3.666666667 = 0.000000000
0.000000000 + 2x + x2 = 0 + -3.666666667
2x + x2 = 0 + -3.666666667

Combine like terms: 0 + -3.666666667 = -3.666666667
2x + x2 = -3.666666667

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -3.666666667 + 1

Reorder the terms:
1 + 2x + x2 = -3.666666667 + 1

Combine like terms: -3.666666667 + 1 = -2.666666667
1 + 2x + x2 = -2.666666667

Factor a perfect square on the left side:
(x + 1)(x + 1) = -2.666666667

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}

See similar equations:

| 750x+200x=225 | | 6x+2=106-7x | | 6+(2x-10)=4x | | 4(u+4)-7u= | | -3-(4x+1)= | | 14+6x-2x= | | 6.25*2.54= | | 3x^3-4x-3=0 | | 3x+8=-4-x | | 750x+350x=y | | X/21=-14 | | h(0)=-16t^2+96t | | -6(t-3)-(t+1)=9 | | 3-6=1-6 | | 2sin^3-sin^2x+2sinx-1=0 | | Y=1.67x+7 | | 24x1/7 | | 2x^3+13x^2+3x=0 | | 5y+9=2-2y | | 6y-24x=96 | | 2(v-4)+5v=-1 | | 4w+2(w+3)=24 | | 5r^2=180 | | 27=2u+5(u-3) | | X2/3x=180 | | (2x+30)+x+(x+10)=180 | | 180=9x-1 | | 12.50+x*0.15=23.90 | | 2/3*x=16 | | (x+30)+(x+10)=180 | | 3x^2+25x-5.7=0 | | (x)(.10)(1)+(2x)(.12)(1)=2890 |

Equations solver categories