9x^2-3x+12=0

Simple and best practice solution for 9x^2-3x+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^2-3x+12=0 equation: 


Simplifying
9x2 + -3x + 12 = 0

Reorder the terms:
12 + -3x + 9x2 = 0

Solving
12 + -3x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(4 + -1x + 3x2) = 0

Ignore the factor 3.

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

Simplifying
4 + -1x + 3x2 = 0

Solving
4 + -1x + 3x2 = 0

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

Divide each side by '3'.
1.333333333 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -0.3333333333x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -0.3333333333x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -0.3333333333x + x2 = 0 + -1.333333333
-0.3333333333x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-0.3333333333x + x2 = -1.333333333

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -1.333333333 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -1.333333333 + 0.02777777779

Combine like terms: -1.333333333 + 0.02777777779 = -1.30555555521
0.02777777779 + -0.3333333333x + x2 = -1.30555555521

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -1.30555555521

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:

| K=nob | | 3(x+5)-7=15-3x-7+6x | | 6a-27=9 | | 3p+4-p-3= | | -3+7(x-2)=16x+3-9x | | (8s-3)-4(8-12s)=2.75 | | 4(x+5)-2= | | (8s-3)-4(8-12s)=0 | | 24x^4=0 | | 6(a-7)+16=4(a-6) | | 3(x-5)=41-4x | | 7(x-5)=-21 | | x^3=730 | | 4x-6=2x+34 | | 3x-1.2=2.4 | | x^3-6x^2-4=0 | | c+5d+4c-2d= | | 42.85g=13 | | 3x-42+2y=4 | | x+(-8)x=10 | | 6+1X-12=4 | | 20t^2-12t=4t | | 13x+4y=161 | | 0.7*0.6= | | 5x+19=2x+100 | | ln(x+1)+ln(x-1)=8 | | -2x-12= | | 2(x-1)-3(2x-5)=15-5(6x+1) | | 2x-10=4x+11 | | ln(4e^2x)=3 | | n+(n+2)= | | 6X-14=-3 |

Equations solver categories