9z^2+3z+6=0

Simple and best practice solution for 9z^2+3z+6=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 9z^2+3z+6=0 equation: 


Simplifying
9z2 + 3z + 6 = 0

Reorder the terms:
6 + 3z + 9z2 = 0

Solving
6 + 3z + 9z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + z + 3z2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(2 + z + 3z2)' equal to zero and attempt to solve:

Simplifying
2 + z + 3z2 = 0

Solving
2 + z + 3z2 = 0

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

Divide each side by '3'.
0.6666666667 + 0.3333333333z + z2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + 0.3333333333z + -0.6666666667 + z2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + 0.3333333333z + z2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + 0.3333333333z + z2 = 0 + -0.6666666667
0.3333333333z + z2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
0.3333333333z + z2 = -0.6666666667

The z term is z.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.3333333333z + 0.25 + z2 = -0.6666666667 + 0.25

Reorder the terms:
0.25 + 0.3333333333z + z2 = -0.6666666667 + 0.25

Combine like terms: -0.6666666667 + 0.25 = -0.4166666667
0.25 + 0.3333333333z + z2 = -0.4166666667

Factor a perfect square on the left side:
(z + 0.5)(z + 0.5) = -0.4166666667

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:

| (d-10)+(d+3)= | | 148=3x-2 | | 3905=65a+55b | | 2x-31=29 | | (2x+4)(x+3)=56 | | 2.5=3x-2 | | 9x-2+4x-8= | | 56x^2+3x-20=0 | | 5c(c-1)+3= | | 20-4(p+7)=2(1-p) | | y^2+2y=6 | | 4y+6(y-8)=4(y+2)-10 | | 13y-5=5y+5 | | y^2+2y-6=0 | | 8x^2(4x^2+4y^6)=0 | | 69-4x=50 | | -15=m-14 | | 2(x-3)+5=3(x-3) | | (4x+1)(6x-24)=0 | | -6-n=-9 | | -3c^2+5cd=0 | | 5kx+2x+14=0 | | -27=-14+p | | 5x=20(4+.25x) | | logx-y=log(3x-1) | | =ln(e^7x) | | -19v=-19 | | -6mn+mn= | | 5u^2-12u+4=0 | | -176=-11n | | d^2-3d-4=0 | | (X^4-1)=0 |

Equations solver categories