9x^2+6x+12=0

Simple and best practice solution for 9x^2+6x+12=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 9x^2+6x+12=0 equation: 


Simplifying
9x2 + 6x + 12 = 0

Reorder the terms:
12 + 6x + 9x2 = 0

Solving
12 + 6x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(4 + 2x + 3x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(4 + 2x + 3x2)' equal to zero and attempt to solve:

Simplifying
4 + 2x + 3x2 = 0

Solving
4 + 2x + 3x2 = 0

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

Divide each side by '3'.
1.333333333 + 0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + 0.6666666667x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + 0.6666666667x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + 0.6666666667x + x2 = 0 + -1.333333333
0.6666666667x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
0.6666666667x + x2 = -1.333333333

The x term is 0.6666666667x.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667x + 0.1111111112 + x2 = -1.333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x + x2 = -1.333333333 + 0.1111111112

Combine like terms: -1.333333333 + 0.1111111112 = -1.2222222218
0.1111111112 + 0.6666666667x + x2 = -1.2222222218

Factor a perfect square on the left side:
(x + 0.3333333334)(x + 0.3333333334) = -1.2222222218

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.

The solution to this equation could not be determined.

See similar equations:

| X-4.7=-7.2 | | -93=-33-10x | | 4(x-9/4)+9 | | 2x-5=5-2x | | x-x/2-3x=-10 | | x-4*88-3*84= | | 9i-8=10 | | 77+77=p+2 | | x(b-2)+s(b-2)= | | 22=4+6l | | -24-i=-15 | | 0.06x^3+1.8x^2-10=0 | | (2(x+1))/2 | | -6n+5=17 | | 4-x=-10 | | 3*2*6=g+5 | | 5=9-2l | | X/210*2 | | 4+8x+2.2-10x= | | 3p^2+18p+9=0 | | 4m^4n^5+28m^4n^4= | | 1-g=8 | | 3t^3+5t^2-12t=0 | | 4x(3-x)=0 | | 11=2-3h | | 3.6x-7-5.1x= | | 11=18+7g | | 4d-3.50=2p | | -8+4j=-16 | | 3x-5x+9= | | 10=z/3+7 | | 1/9(3-d)=4 |

Equations solver categories