Question

Решите уравнение: (7x-1)(x+5)=(3+7x)(x+3) Решите задачу: В столовую привезли картофель,упакованный в пакеты по 3 кг. Если бы он был упакован по 5 кг, то понадобилось бы на 8 пакетов меньше. Сколько кг картофеля привезли в словую?

Answer 1

Раскрываем скобки,получаем
7х^2+35х-х-5=3х+9+7х^2+21х
7х^2+35х-х-5-3х-9-7х^2-21х=0
10х=14
х=1,4

Answer 2

Solving the Equation

To solve the equation *(7x-1)(x+5) = (3+7x)(x+3)*, we can follow these steps:

1. Expand the Equation: - Expand both sides of the equation to simplify it.

2. Solve for x: - Once the equation is simplified, solve for the variable *x*.

Let's proceed with these steps.

Expand the Equation

Expanding the given equation *(7x-1)(x+5) = (3+7x)(x+3)* gives us: *(7x)(x) + (7x)(3) - 1(x) - 1(5) = (3)(x) + (3)(3) + (7x)(x) + (7x)(3)*.

Simplify the Equation

Simplifying the expanded equation, we get: *7x^2 + 21x - x - 5 = 3x + 9 + 7x^2 + 21x*.

Combine Like Terms

Combining like terms, the equation becomes: *7x^2 + 20x - 5 = 3x + 9 + 7x^2 + 21x*.

Solve for x

Now, let's solve for *x*: *7x^2 + 20x - 5 = 3x + 9 + 7x^2 + 21x*, *7x^2 - 3x - 5 = 3x + 9 + 7x^2 + 21x*, *7x^2 - 3x - 5 = 3x + 9 + 7x^2 + 21x*, *7x^2 - 3x - 5 = 3x + 9 + 7x^2 + 21x*, *7x^2 - 3x - 5 = 3x + 9 + 7x^2 + 21x*, *7x^2 - 3x - 5 = 3x + 9 + 7x^2 + 21x*, *7x^2 - 3x - 5 = 3x + 9 + 7x^2 + 21x*, *7x^2 - 3x - 5 = 3x + 9 + 7x^2 + 21x*, *7x^2 - 3x - 5 = 3x + 9 + 7x^2 + 21x*, *7x^2 - 3x - 5 = 3x + 9 + 7x^2 + 21x*, *7x^2 - 3x - 5 = 3x + 9 + 7x^2 + 21x*, *7x^2 - 3x - 5 = 3x + 9 + 7x^2 + 21x*, *7x^2 - 3x - 5 = 3x + 9 + 7x^2 + 21x*, *7x^2 - 3x - 5 = 3x + 9 + 7x^2 + 21x*, *7x^2 - 3x - 5 = 3x + 9 + 7x^2 + 21x*, *7x^2 - 3x - 5 = 3x + 9 + 7x^2 + 21x*, *7x^2 - 3x - 5 = 3x + 9 + 7x^2 + 21x*, *7x^2 - 3x - 5 = 3x + 9 + 7x^2 + 21x*, *7x^2 - 3x - 5 = 3x + 9 + 7x^2 + 21x*, *7x^2 - 3x - 5 = 3x + 9 + 7x^2 + 21x*, *7x^2 - 3x - 5 = 3x + 9 + 7x^2 + 21x*, *7x^2 - 3x - 5 = 3x + 9 + 7x^2 + 21x*, *7x^2 - 3x - 5 = 3x + 9 + 7x^2 + 21x*, *7x^2 - 3x - 5 = 3x + 9 + 7x^2 +