Factorize the expression

$ 30 x=8 x^{2}+27 $


Given:

$ 30 x=8 x^{2}+27 $


To do: Factorize the given expression.
 

Solution:

$8x^2 -30x + 27=0$


$ 8 \times 27 = 216$


finding two numbers to multiply to get 216 would be:
$12 \times 18 = 216$
$12+ 18 = 30$


moving on $8x^2 +18x +12x +27=0$

$2x(4x +9) +3(4x +9) = 0$


$(2x+3)(4x+9) = 0$


$(2x+3)$ and $(4x+9)$ are the factors.


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Updated on: 10-Oct-2022

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