9z^2-3z+18=

Simple and best practice solution for 9z^2-3z+18= 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+18= equation:


Simplifying
9z2 + -3z + 18 = 0

Reorder the terms:
18 + -3z + 9z2 = 0

Solving
18 + -3z + 9z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '3'.
3(6 + -1z + 3z2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(6 + -1z + 3z2)' equal to zero and attempt to solve: Simplifying 6 + -1z + 3z2 = 0 Solving 6 + -1z + 3z2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 2 + -0.3333333333z + z2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.3333333333z + -2 + z2 = 0 + -2 Reorder the terms: 2 + -2 + -0.3333333333z + z2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.3333333333z + z2 = 0 + -2 -0.3333333333z + z2 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.3333333333z + z2 = -2 The z term is -0.3333333333z. 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. -0.3333333333z + 0.02777777779 + z2 = -2 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333z + z2 = -2 + 0.02777777779 Combine like terms: -2 + 0.02777777779 = -1.97222222221 0.02777777779 + -0.3333333333z + z2 = -1.97222222221 Factor a perfect square on the left side: (z + -0.1666666667)(z + -0.1666666667) = -1.97222222221 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:

| 4n-27=-20+3n | | 0.625(g-6)=-35 | | 91-2x=x | | 4(1.25c+6)-2c=-9 | | 1/2(3-x)-1/3(x+2)=3/4 | | x+(-10)=12 | | 6x-9y=12solvey | | 4(2-x)+2(1-5x)=5(2-3x)+x | | 6x^4-15x^6= | | 6x=7.20 | | 52-8= | | 9(n-15)-17n=-3-9(n+13) | | 21=-3p-6 | | b+9+2b=6 | | 3x+x-10=90 | | x-0.6=9.64 | | 3+12b+36a= | | 0-y=8 | | 2x+y=y+2x | | -2(-4x+3)=-6(-8-10x) | | 8x^2+46x-764=0 | | 5x+2x-30=180 | | -3(8+5x)=-84 | | 6x=10x-32 | | 2x^2+7x-22=0 | | 5-6(7a-5)=287 | | 12k^2-8k= | | -5(7p+2)=4p+9 | | 2x+45=7x+5 | | -6-8m=10-2m-8m | | 4+t=-16 | | (3*4)*7=3*(4*7) |

Equations solver categories