Question

solve the equation (5p+1)(p+4) =2(7p+5)​

Answer 1

Answer:

Step-by-step explanation: (5p + 1)(p + 4) = 2(7p + 5)

= 5p(p+4)+1(p+4) = 2(7p + 5)

=5p²+ 20p + p + 4 = 14p + 10

=5p² + 21p + 4 = 14p + 10

= 5p² + 21p -14p + 4 = 10

=5p² + 7p +4 = 10

= 5p² + 7p = 10 -4

=5p² + 7p = 6

Answer 2

Answer:

3/5 and -2

Step-by-step explanation:

equating left hand side equation we get

$(5p + 1)(p + 4)$

$5 {p}^{2} + 20p + 1p + 4$

$5 {p}^{2} + 21p + 4$

equating right hand side equation we get

$2(7p + 5) = 14p + 10$

NOW EQUATING BOTH

$5 {p}^{2} + 21p + 4 = 14p + 10$

$5 {p}^{2} + 7p - 6 = 0$

$5 {p}^{2} + 10p - 3p - 6 = 0$

$(5p - 3)(p + 2) = 0$

value of p = 3/5 and -2