3 x 2 − 2 x − 5 = 0
( 3 x − 5 ) ( x + 1 ) = 0
3 x − 5 = 0
3 x = 5
x = 3 5
x + 1 = 0
x = − 1
x = − 1 , 3 5
The answer to your question is: It is a quadratic equation in 'x', with 'n' mistakenly typed in the second term..
Although you didn't ask for the solutions to the equation, I'm already here so I might as well go through it and find them:
3x² - 2x - 5 = 0
In terms of the generic quadratic formula: A = 3 B = -2 C = -5
Plug those into the quadratic formula, and you discover that
x = -1 and x = ⁵/₃
To solve the equation 3 x 2 − 2 n − 5 = 0 , rearrange it to find x = ± 3 2 n + 5 . Solutions depend on the value of n , which influences the results for x . Always ensure 0"> 2 n + 5 > 0 for real number solutions.
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