Question

Решите уравнение (3x-5)(x+4)=0

Answer 1

3x-5=0
x+4=0

x=5/3
x=-4

x1=-4. x2=5/3

Answer 2

To solve the equation $(3x-5)(x+4) = 0$, we set each factor to zero and solve for $x$. When the product of two factors is equal to zero, it means that at least one of the factors must be zero.

So, we have two cases to consider:

1. $3x - 5 = 0$
2. $x + 4 = 0$

Let's solve these equations one by one:

1. $3x - 5 = 0$ Adding 5 to both sides: $3x = 5$ Now, divide both sides by 3: $x = \frac{5}{3}$

2. $x + 4 = 0$ Subtracting 4 from both sides: $x = -4$

So, the solutions to the equation are $x = \frac{5}{3}$ and $x = -4$.