The function gx is defined as gx=6x^2+23x-4,when does g(x)=0

For this case we have the following function:

What we must do is find the zeros of the function.

We have then:

Factoring we have:

From here, we solve the solutions of the equation:

Solution 1:

Solution 2:

The values of x that make the equation equal to zero are:

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

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step-by-step explanation: