Question 1094659
<br>Of course you first need to get all the terms on one side of the equation, with 0 on the other side.<br>
After that, there are certain factoring patterns you should learn to recognize, so you can do the work faster.<br>
Look at the first and last terms of your equation: 9x^2 and 16.  Those are both perfect squares: 9x^2 = (3x)^2 and 16 = 4^2.<br>
Then with a negative middle term, you only need to check to see if (3x-4)^2 gives you the correct middle term.  It does... so
{{{9x^2-24x+16 = 0}}}
{{{(3x-4)^2 = 0}}}
{{{3x-4 = 0}}}
{{{3x = 4}}}
{{{x = 4/3}}}