Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача Задача №2145563
А
Аноним
08 ноября 2024 11:14 · публичный вопрос
А
Аноним

(x+40)•56=555

Ответ нейросети
08 ноября 2024 11:14

To solve the equation \((x + 40) \cdot 56 = 555\), follow these steps:

  1. Divide both sides by 56 to isolate \(x + 40\):

    \[ x + 40 = \frac{555}{56} \]

  2. Calculate \(\frac{555}{56}\):

    \[ \frac{555}{56} \approx 9.910714285714286 \]

    (You can keep the fraction for more accuracy, or you can round it as needed).

  3. Now, solve for \(x\) by subtracting 40 from both sides:

    \[ x = \frac{555}{56} - 40 \]

  4. To proceed with the subtraction, convert 40 to have a common denominator:

    \[ 40 = \frac{40 \cdot 56}{56} = \frac{2240}{56} \]

  5. Now, substitute back into the equation:

    \[ x = \frac{555}{56} - \frac{2240}{56} \]

  6. Combine the fractions:

    \[ x = \frac{555 - 2240}{56} = \frac{-1685}{56} \]

  7. You can simplify this fraction, if needed, or convert to decimal:

    \[ x \approx -30.125 \]

Thus, the solution is:

\[ x = \frac{-1685}{56} \quad \text{or approximately} \quad -30.125 \]