Question

multiply the given expression to each other :- (3x -5) (2x +9)​

Answer 1

$\huge\purple{Required \: Answer :}$

• $x = \frac{5}{3}$
• $x = \frac{ - 9}{2}$

$\huge\sf{Explanation :}$

$= (3x - 5)(2x + 9) \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 3x(2x + 9) - 5(2x + 9) \\ = 6 {x}^{2} + 27x - 10x - 45 \: \: \: \\ = 6 {x}^{2} + 17x - 45 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 6 {x}^{2} + 27x - 10x - 45 \: \: \: \\ = (6 {x}^{2} + 27x) - (10x + 45) \\ = 3x(2x + 9) - 5(2x + 9) \: \: \: \: \\ = (3x - 5)(2x + 9) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ (3x - 5) = 0 \\ (2x + 9) = 0 \\ x = \frac{5}{3} \: or \: x = \frac{ - 9}{2}$

Therefore, x = 5 l 3 or x = -9 / 2

$\huge\sf\implies{Thanks : ❤}$