Question

Solve the equation for all real solutions in simplest form. 5, p, squared, plus, 14, p, plus, 10, equals, 2, p, squared 5p 2 14p 10= 2p 2

Answer 1

The solution to the given equation is p = -4/5 and -2

Given the equation below

5p^2 + 14p + 10 = 2

This can be equated to zero to have:

5p^2 + 14p + 10 - 2 = 0

5p^2 + 14p + 8 = 0

Factorize

5p^2 + 10p + 4p + 8 = 0

5p(p + 2) + 4(p + 2)= 0

(5p +4)(p + 2) = 0

p = -4/5 and -2

Hence the solution to the given equation is p = -4/5 and -2