(9-z)(3z-8)=0

Simple and best practice solution for (9-z)(3z-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 (9-z)(3z-8)=0 equation: 


Simplifying
(9 + -1z)(3z + -8) = 0

Reorder the terms:
(9 + -1z)(-8 + 3z) = 0

Multiply (9 + -1z) * (-8 + 3z)
(9(-8 + 3z) + -1z * (-8 + 3z)) = 0
((-8 * 9 + 3z * 9) + -1z * (-8 + 3z)) = 0
((-72 + 27z) + -1z * (-8 + 3z)) = 0
(-72 + 27z + (-8 * -1z + 3z * -1z)) = 0
(-72 + 27z + (8z + -3z2)) = 0

Combine like terms: 27z + 8z = 35z
(-72 + 35z + -3z2) = 0

Solving
-72 + 35z + -3z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-9 + z)(8 + -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 '(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
Solution
z = {9, 2.666666667}

See similar equations:

| 8b=10+7b | | -20y/3*3=30/5*3x3 | | 36x+45=x | | -y=-8x | | -7t=-10t+3 | | 3(q+8)=6 | | 9(10+n)=153 | | 2/9+(-1-2) | | -3y=-9x | | -16d=4 | | -3/5-1/3 | | 8(2x-4)=-24 | | -7(y+6)=2y+30 | | (R-4)(2r+6)= | | n+7m=42 | | 1/3(27+18)=12+6(x-4) | | -3y=-9y | | Y-1.7=1.3 | | 32=4x+4x | | (-8x^9)(6x^9)= | | .04x+.07(9000.00-x)=540.00 | | X+29.5=89.5 | | 9mx-2mx=4mx+12 | | 5+11x^2-16x^4=0 | | 4n+6=n+11 | | -y=-3x+2 | | 2a/7=2/3 | | 3x+71=180 | | 5x+8x=13x | | 4-x=3x+28 | | -20y/3=30/5.3 | | 5x+5-8x+10=2x-11 |

Equations solver categories