Answer:
n = 0 or n = -9/16
Step-by-step explanation:
Solve for n:
2 (8 n^2 + 9 n) - 9 n = 0
Hint: | Write the quadratic polynomial on the left hand side in standard form.
Expand out terms of the left hand side:
16 n^2 + 9 n = 0
Hint: | Factor the left hand side.
Factor n from the left hand side:
n (16 n + 9) = 0
Hint: | Find the roots of each term in the product separately.
Split into two equations:
n = 0 or 16 n + 9 = 0
Hint: | Look at the second equation: Isolate terms with n to the left hand side.
Subtract 9 from both sides:
n = 0 or 16 n = -9
Hint: | Solve for n.
Divide both sides by 16:
Answer: n = 0 or n = -9/16
