9x^2+18x+12=0

Simple and best practice solution for 9x^2+18x+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+18x+12=0 equation: 


Simplifying
9x2 + 18x + 12 = 0

Reorder the terms:
12 + 18x + 9x2 = 0

Solving
12 + 18x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(4 + 6x + 3x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(4 + 6x + 3x2)' equal to zero and attempt to solve:

Simplifying
4 + 6x + 3x2 = 0

Solving
4 + 6x + 3x2 = 0

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

Divide each side by '3'.
1.333333333 + 2x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + 2x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + 2x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + 2x + x2 = 0 + -1.333333333
2x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
2x + x2 = -1.333333333

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 = -1.333333333 + 1

Reorder the terms:
1 + 2x + x2 = -1.333333333 + 1

Combine like terms: -1.333333333 + 1 = -0.333333333
1 + 2x + x2 = -0.333333333

Factor a perfect square on the left side:
(x + 1)(x + 1) = -0.333333333

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:

| 5=4-3x | | 8c-15=49 | | 3(m+6)=2m | | 24/8= | | 3n^2-6n-1=0 | | -5(x-1)=20(x-10) | | 2000*0.75= | | -12.42=.03p | | 7-4x=3x+35 | | g-4=-13 | | 5(a+3b)=5a+15b | | x^2-16y=0 | | 5*16*15=b | | 5x-8=7x+12x | | y=4x-q | | -13+q=-40 | | 4(a+b)+6(b+2a)= | | 5.16.15=b | | 9.6m+6=300.5 | | h+2=13 | | -3x-71=103-9x | | 2(4v+9)=98 | | 4q+2q+3=6q-4 | | 6a+(-2c)+(-4a)+c= | | 2x^2-96=x | | 13x+15=13x-15 | | S-3=5s | | 7(7+2l)=3(9l-1) | | 1gh-4gh+7g-8h+h= | | (-3)y+4+5y=(-6) | | 8x+44=4x-12 | | 4x^2+32+5=0 |

Equations solver categories