-9z^2+21z+8=0

Simple and best practice solution for -9z^2+21z+8=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+21z+8=0 equation: 


Simplifying
-9z2 + 21z + 8 = 0

Reorder the terms:
8 + 21z + -9z2 = 0

Solving
8 + 21z + -9z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(8 + -3z)(1 + 3z) = 0


Subproblem 1
Set the factor '(8 + -3z)' equal to zero and attempt to solve:

Simplifying
8 + -3z = 0

Solving
8 + -3z = 0

Move all terms containing z to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -3z = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3z = 0 + -8
-3z = 0 + -8

Combine like terms: 0 + -8 = -8
-3z = -8

Divide each side by '-3'.
z = 2.666666667

Simplifying
z = 2.666666667

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

Simplifying
1 + 3z = 0

Solving
1 + 3z = 0

Move all terms containing z to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 3z = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3z = 0 + -1
3z = 0 + -1

Combine like terms: 0 + -1 = -1
3z = -1

Divide each side by '3'.
z = -0.3333333333

Simplifying
z = -0.3333333333
Solution
z = {2.666666667, -0.3333333333}

See similar equations:

| 4x-3x-2=18 | | Y-2(2)=3 | | 7-v=4 | | y=.6(50)+50 | | 3x-2(-4.5)=3 | | Y-2(0)=3 | | 4x-5/3=11 | | f(n)=2f(n-2) | | 4+-12= | | (1/3)y=y-6 | | -1(3x+3)-2x=-4(x-2)-2 | | 60h-42=-54h-156 | | 3(h-8)=6 | | Y+2(2)=0 | | 9=3(q+1) | | Y+2(1)=0 | | Y=x^7lnx-1/6x^6 | | 12p+10=40 | | (4/3)/-3 | | 126+5z-z^2=0 | | -15/(5/8) | | 4x+3=2(3x-9) | | 2b^2(3-7b^4)= | | Y+2(-2)=0 | | 36t^4+33t^2-3=0 | | ln(7x+9)=2 | | 7w/8=35 | | 3(2x-8)=2x | | -4.3=.5n | | 1/4-1-3 | | f(x)=3x^2+36x+8 | | 3u=6/7 |

Equations solver categories