solve: n squared + 5n = 84 for n?
n^2+5n-84=0
(n+12)(n-7)=0
n= -12, or n=7
To solve the equation n^2 + 5n = 84 for n, we need to rearrange the equation to isolate n on one side.
Step 1: Move the constant term to the other side of the equation:
n^2 + 5n - 84 = 0
Step 2: Factorize the quadratic equation:
(n + 12)(n - 7) = 0
Step 3: Set each factor equal to zero and solve for n:
n + 12 = 0 or n - 7 = 0
Solving for n in the first equation:
n = -12
Solving for n in the second equation:
n = 7
Thus, the solutions for the equation n^2 + 5n = 84 are n = -12 and n = 7.