Question

Решите уравнения: (7-3x)(3+2x)=0

Answer 1

21+14х-9х-6x^2=0
-6x^2+5x+21=0
6x^2-5x-21=0
Д=25+4*21*6=529
√Д=23
x1=(5-23)/2*6=-1.5
x2=(5+23)/2*6=28/12=2 1/3

Answer 2

I can help you solve equations and other math problems. To solve the equation $(7-3x)(3+2x)=0$, we need to use the zero product property, which states that if $ab=0$, then either $a=0$ or $b=0$ or both. Therefore, we can set each factor equal to zero and solve for $x$:

$$ \begin{aligned} 7-3x&=0\\ -3x&=-7\\ x&=\frac{7}{3} \end{aligned} $$

and

$$ \begin{aligned} 3+2x&=0\\ 2x&=-3\\ x&=-\frac{3}{2} \end{aligned} $$

The solutions are $x=\frac{7}{3}$ and $x=-\frac{3}{2}$. You can check them by plugging them back into the original equation and verifying that the left-hand side equals the right-hand side. For more examples and explanations, you can visit [this website](https://ru.symbolab.com/solver/equation-calculator) or [this one](https://www.mathway.com/algebra). You can also use [this online calculator](https://pocketteacher.ru/solve-page) to solve equations and see the steps. I hope this helps.