16n2 – 10n – 5 = 6n
Solve the equation for all real solutions

n=5/4 or n=-1/4

Step-by-step explanation:

16n^2 - 10n-5=6n

16n^2-16n-5=0

(4n)^2-2.4n.2+2^2 = 2^2 + 5

(4n- 2)^2=9

4n-2 = 3 or 4n-2=-3

4n=5 or 4n=-1

n=5/4 or n = - 1/4

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions