The Mathematics question is to solve for 'n' in the equation 92n(273n - 1) = 2433n. Upon distributing and combining like terms, and then factoring, the solutions for 'n' are found to be either 0 or approximately 0.1003.
The student has asked to solve for a variable, 'n', in a given equation. This is a problem related to Mathematics, specifically algebra. The original equation is: 92n(273n - 1) = 2433n. First, identify the knowns in the equation and then solve for the unknown variable 'n'.
To solve the equation, first distribute through the parentheses:
92n × 273n = 25176n²
92n × (-1) = -92n
So the equation becomes:
25176n² - 92n = 2433n
Subtract 2433n from both sides:
25176n² - 2525n = 0
Since 'n' is a common factor, we can factor it out:
n(25176n - 2525) = 0
Then set each factor equal to zero to solve for 'n':
n = 0
25176n - 2525 = 0
When solving for the second factor:
n = 2525 / 25176
Therefore, the solutions for the variable 'n' are either 0 or approximately 0.1003.