Question
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Answer
La solución es \( x = -\frac{2}{25} \).
Solution
Para resolver la ecuación \( \frac{-100}{2} x = 4 \), primero simplificamos el lado izquierdo:
\[
\frac{-100}{2} = -50
\]
Entonces, la ecuación se convierte en:
\[
-50x = 4
\]
Ahora, para despejar \( x \), dividimos ambos lados de la ecuación por -50:
\[
x = \frac{4}{-50}
\]
Simplificamos la fracción:
\[
x = \frac{4}{-50} = \frac{-4}{50} = \frac{-2}{25}
\]
Por lo tanto, la solución es:
\[
x = -\frac{2}{25}
\]
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Simplify this solution Beyond the Answer
To solve the equation \( \frac{-100}{2} x = 4 \), first simplify the left side by calculating \( \frac{-100}{2} \), which gives you \(-50x = 4\). Next, divide both sides by -50 to isolate \( x \). This means \( x = \frac{4}{-50} \), which simplifies to \( x = -\frac{2}{25} \). And there you have it, algebra at its finest! Now, remember, when working with equations, always double-check your simplifications and signs! Mistakes can happen, especially with negative numbers. If you miscalculate when dividing or multiplying, it can lead to a totally different solution. So, keep your focus sharp!
