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How do you solve (9x−2)(3x−8)=0

Sagot :

So we're going to solve the equation:

[tex](9x-2)(3x-8)=0[/tex]

As you can notice, both factors could be zero, so, we're going to solve the equation of each factor to find both solutions.

This is:

[tex](9x-2)(3x-8)=0\to\begin{cases}9x-2=0\to x=\frac{2}{9} \\ 3x-8=0\to x=\frac{8}{3}\end{cases}[/tex]

Therefore, the solutions are x=2/9 and x=8/3.

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