Stuart West
02/17/2024 · High School
ие \( (5 x+2)(-x-4)=0 \)
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Step-by-step Solution
Чтобы решить уравнение \( (5x + 2)(-x - 4) = 0 \), нужно использовать свойство нуля: произведение равно нулю, если хотя бы один из множителей равен нулю.
1. Первый множитель:
\[
5x + 2 = 0
\]
Решим это уравнение:
\[
5x = -2 \\
x = -\frac{2}{5}
\]
2. Второй множитель:
\[
-x - 4 = 0
\]
Решим это уравнение:
\[
-x = 4 \\
x = -4
\]
Таким образом, у уравнения \( (5x + 2)(-x - 4) = 0 \) два решения:
\[
x = -\frac{2}{5} \quad \text{и} \quad x = -4
\]
Quick Answer
Решения уравнения \( (5x + 2)(-x - 4) = 0 \): \( x = -\frac{2}{5} \) и \( x = -4 \).
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