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Задача Задача №2130383
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Аноним
07 ноября 2024 11:02 · публичный вопрос
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Аноним

900:(210+х)=36

Ответ нейросети
07 ноября 2024 11:02

To solve the equation \( 900:(210 + x) = 36 \), we can rewrite it in a clearer form. The colon (:) represents division, so we can rewrite the equation as:

\[ \frac{900}{210 + x} = 36 \]

Now, to eliminate the fraction, we can multiply both sides of the equation by \( 210 + x \):

\[ 900 = 36(210 + x) \]

Next, distribute the 36 on the right side:

\[ 900 = 36 \cdot 210 + 36x \]

Calculating \( 36 \cdot 210 \):

\[ 36 \cdot 210 = 7560 \]

So the equation becomes:

\[ 900 = 7560 + 36x \]

Now, we can isolate the term with \( x \) by subtracting 7560 from both sides:

\[ 900 - 7560 = 36x \]

\[ -6660 = 36x \]

Next, divide both sides by 36 to solve for \( x \):

\[ x = \frac{-6660}{36} \]

Calculating \( \frac{-6660}{36} \):

\[ x = -185 \]

Therefore, the solution is:

\[ \boxed{-185} \]