What are the solutions to the equation (3z-1)(8-z)=0 ?

The solutions to the equation (3z-1)(8-z)=0 are z= 1/3 ,z=8

Find the zeros of (3z-1)(8-z)=0

The zeros of (3z-1)(8-z)=0 are z= 1/3 ,z=8

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(3 z - 1) (8 - z) = 0

z = \frac{1}{3}, z = 8

Solution steps

(3 z - 1) (8 - z) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

3 z - 1 = 0 or 8 - z = 0

Solve

3 z - 1 = 0 : z = \frac{1}{3}

Solve

8 - z = 0 : z = 8

The solutions to the quadratic equation are:

z = \frac{1}{3}, z = 8

5 x^{2} = 60

k (k - 4) = 0

x^{2} + 12 x + 35

2 x^{2} - 1 x - 1

4 + 7 y = 3 + 8 y

What are the solutions to the equation (3z-1)(8-z)=0 ?
The solutions to the equation (3z-1)(8-z)=0 are z= 1/3 ,z=8
Find the zeros of (3z-1)(8-z)=0
The zeros of (3z-1)(8-z)=0 are z= 1/3 ,z=8