(3z-2)(9-z)=0

Simple and best practice solution for (3z-2)(9-z)=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 (3z-2)(9-z)=0 equation: 


Simplifying
(3z + -2)(9 + -1z) = 0

Reorder the terms:
(-2 + 3z)(9 + -1z) = 0

Multiply (-2 + 3z) * (9 + -1z)
(-2(9 + -1z) + 3z * (9 + -1z)) = 0
((9 * -2 + -1z * -2) + 3z * (9 + -1z)) = 0
((-18 + 2z) + 3z * (9 + -1z)) = 0
(-18 + 2z + (9 * 3z + -1z * 3z)) = 0
(-18 + 2z + (27z + -3z2)) = 0

Combine like terms: 2z + 27z = 29z
(-18 + 29z + -3z2) = 0

Solving
-18 + 29z + -3z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-9 + z)(2 + -3z) = 0


Subproblem 1
Set the factor '(-9 + z)' equal to zero and attempt to solve:

Simplifying
-9 + z = 0

Solving
-9 + z = 0

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

Add '9' to each side of the equation.
-9 + 9 + z = 0 + 9

Combine like terms: -9 + 9 = 0
0 + z = 0 + 9
z = 0 + 9

Combine like terms: 0 + 9 = 9
z = 9

Simplifying
z = 9

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

Simplifying
2 + -3z = 0

Solving
2 + -3z = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3z = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3z = 0 + -2
-3z = 0 + -2

Combine like terms: 0 + -2 = -2
-3z = -2

Divide each side by '-3'.
z = 0.6666666667

Simplifying
z = 0.6666666667
Solution
z = {9, 0.6666666667}

See similar equations:

| 3a+4a+240+192=48 | | (3z-2)(9-a)=0 | | 3y-2=1-2y | | p=bd/n | | 5b-16=19 | | 4y-16=8 | | 1-2sin(2x)=0 | | s-3/7=s+5/7 | | 8(x-3)=5 | | 6(x-2)-6=-6(-5x+4)-6x | | 5n-3n+18=2+3n | | 2x+3y+5x-2y-4x= | | 6(x-2)-6=-6(-5x+4) | | log(x+8)+logx=log(x+18) | | 6(g+3)=-2(-g-4) | | 15x-8=40x+2 | | 3a-2b=16 | | 2a+b=20 | | a^2-5.6*a+1=0 | | Y/2=Y/3-4 | | 3m+18=38-m | | -2(8x-4)+9x=2(x+1) | | a^2-5.6a+1=0 | | 6k-8=6-k | | 4y^2-23y+28=0 | | a^2-6a+1=0 | | 5=2y+2 | | -8w+36=2(w+8) | | 3x+8y=-4 | | 10-(x-6)=3(x-8)+x | | -2(w-8)=7w-47 | | c^2-7c-2=-4 |

Equations solver categories