Respuesta :

imlittlestar

Answer:

The solution of the given equation is (5/2, 1/3)

Step-by-step explanation:

It is given an equation,

(2x - 5)(3x - 1) = 0

To find the solution of given equation

(2x - 5)(3x - 1) = 0 means that,

either (2x - 5) = 0 or (3x - 1) = 0

If 2x - 5 = 0

2x = 5

x = 5/2

or 3x - 1 = 0

3x = 3

x = 1/3

Therefore the solution of the given equation is (5/2, 1/3)

kudzordzifrancis

ANSWER

[tex]\: x =2 \frac{1}{2} \: or \: x = \frac{1}{3} [/tex]

EXPLANATION

The equation is given in the factored form as:

[tex](2x - 5)(3x - 1) = 0[/tex]

According to zero product principle

[tex]either \: \: (2x - 5) = 0 \: or \: (3x - 1) = 0[/tex]

This implies that,

[tex]either \: \: 2x = 5 \: or \: 3x = 1[/tex]

We divide the first equation by 2 and the second by 3

[tex]either \: \: x = \frac{5}{2} \: or \: x = \frac{1}{3} [/tex]

The solutions are

[tex]\: x =2 \frac{1}{2} \: or \: x = \frac{1}{3} [/tex]

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