What’s the answer for x??
1 answer:
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Answer:
n = 0 or n = -5/2
Step-by-step explanation:
We'd like to solve this equation for n: .
Cross-multiply and distribute:
(2 - n) * n = (n + 4) * 3n
2n - n² = 3n² + 12n
Move everything to one side:
3n² + n² + 12n - 2n = 0
4n² + 10n = 0
Factor our 2n:
2n * (2n + 5) = 0
By the Zero Property of Multiplication, either 2n = 0 or 2n + 5 = 0 to make this equation true:
2n = 0 OR 2n + 5 = 0
n = 0/2 = 0 OR 2n = -5 ⇒ n = -5/2
Thus, n = 0 or n = -5/2.
<em>~ an aesthetics lover</em>