Question

2(x+2)(x+7)= x2 +7x.

Answer 1

Ответ:

Х1=-7

Х2=-4

Пошаговое объяснение:

Смотри решение на фото

Answer 2

Let's simplify the given equation step by step:

2(x + 2)(x + 7) = x^2 + 7x

First, we'll expand the equation using the distributive property:

2(x^2 + 7x + 2x + 14) = x^2 + 7x

Next, we simplify within the parentheses:

2(x^2 + 9x + 14) = x^2 + 7x

Now, distribute 2 to each term inside the parentheses:

2x^2 + 18x + 28 = x^2 + 7x

To solve the equation, we'll move all the terms to one side, setting the equation equal to zero:

2x^2 + 18x + 28 - x^2 - 7x = 0

Combine like terms:

x^2 + 11x + 28 = 0

The equation is now in standard quadratic form. To solve it, we can factor or use the quadratic formula:

Factoring method:

(x + 4)(x + 7) = 0

Setting each factor equal to zero:

x + 4 = 0 or x + 7 = 0

Solving for x:

x = -4 or x = -7

So the solutions to the equation 2(x + 2)(x + 7) = x^2 + 7x are x = -4 and x = -7.