12x^3+10x^2+8x=0

Simple and best practice solution for 12x^3+10x^2+8x=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 12x^3+10x^2+8x=0 equation: 


Simplifying
12x3 + 10x2 + 8x = 0

Reorder the terms:
8x + 10x2 + 12x3 = 0

Solving
8x + 10x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(4 + 5x + 6x2) = 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 '(4 + 5x + 6x2)' equal to zero and attempt to solve:

Simplifying
4 + 5x + 6x2 = 0

Solving
4 + 5x + 6x2 = 0

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

Divide each side by '6'.
0.6666666667 + 0.8333333333x + x2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + 0.8333333333x + -0.6666666667 + x2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + 0.8333333333x + x2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + 0.8333333333x + x2 = 0 + -0.6666666667
0.8333333333x + x2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
0.8333333333x + x2 = -0.6666666667

The x term is 0.8333333333x.  Take half its coefficient (0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
0.8333333333x + 0.1736111111 + x2 = -0.6666666667 + 0.1736111111

Reorder the terms:
0.1736111111 + 0.8333333333x + x2 = -0.6666666667 + 0.1736111111

Combine like terms: -0.6666666667 + 0.1736111111 = -0.4930555556
0.1736111111 + 0.8333333333x + x2 = -0.4930555556

Factor a perfect square on the left side:
(x + 0.4166666667)(x + 0.4166666667) = -0.4930555556

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:

| 14(21-11)= | | -1(75-9)= | | x^6+6x^3+5=0 | | 3(x-2)=16 | | 20x^2+185x+45=0 | | 6(3x-1)=-7(x+8) | | -8(700-3)= | | -p+2p+15=0 | | x/2-250=3x/7 | | 6+2(s-2t)= | | z-7z^1/2+12=0 | | 1/4/3 | | 5x+5=4+4x | | 2/3X=1/2X+7 | | 21-m=9 | | 10x+14=28 | | c-1/3=2/5 | | (x^2+7x+12)/(x+4) | | 2c=98 | | 24x+4+2x=30x-3 | | x^2(-4x)=12 | | 3x+(x+6)=-24-2x | | 0.5x+3y+10z=100 | | (x^2)-4x=12 | | (5/6)3 | | 25x=-x^2 | | 3z-7-z+5=0 | | -29x+10+10x^2=0 | | mn-2m^2= | | 2t=15x+3a | | 19-6x=44+3x | | 7x-4=-3x+16 |

Equations solver categories