Solve, by factorizing, the equation:

\[8x^2 - 30x - 27 = 0\]

First, try to see if the 3 terms have a common factor. Yoru equation does not. So u have to multiply the 8x^2 and the 27. That is 216. Then you have to think to yourself, what multiplys to be 216 and adds to be -30? Those numbers are -36 and 6. Now your equation is 8x^2-36x+6x-27=0. Next, factor. What is both a factor of 8 and 6? That would be 2 and they both have at least one x. So you factor that to get 2x(4x+3). Now the other part. What goes into negative 36x and negative 27 that would be 9 . So when you factor that you get 9(4x-3). They are the same except for the sign and thats easy. That 3 in the second part has to positive to multiply with the -9 to geta -27. So your finally answer is (2x-9)(4x-3).

Answered by nj4Hgoat | 2024-06-24

To solve the equation 8 x 2 − 30 x − 27 = 0 by factorizing, we find that it factors into ( 4 x + 3 ) ( 2 x − 9 ) = 0 . This leads to two solutions: x = − 4 3 ​ and x = 2 9 ​ .
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Answered by nj4Hgoat | 2024-10-01