Question

(x^2+2x+1)(x+3)=0 решите уравнение

Answer 1

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Answer 2

To solve the equation $(x^2 + 2x + 1)(x + 3) = 0$, we can use the zero product property, which states that if the product of two factors is equal to zero, then at least one of the factors must be zero.

So, to find the solutions, we set each factor equal to zero and solve for $x$:

1. Setting $x^2 + 2x + 1$ equal to zero: $x^2 + 2x + 1 = 0$

This equation can be factored as a perfect square trinomial: $(x + 1)^2 = 0$

Now, using the square root property, we can take the square root of both sides: $x + 1 = 0$

Solving for $x$: $x = -1$

2. Setting $x + 3$ equal to zero: $x + 3 = 0$

Solving for $x$: $x = -3$

So, the solutions to the equation are $x = -1$ and $x = -3$.