Question

Factor and solve.
12p^2-25p+12=0

Answer 1

`{p} = (4)/(3), \: (3)/(4)`

Explanation:

`12 {p}^(2) - 25p + 12 = 0 \\ \\ \implies 12 {p}^(2) - 16p - 9p + 12 = 0 \\ \\ \implies 4p(3 {p} - 4) -3( 3p - 4)= 0 \\ \\ \implies (3 {p} - 4)( 4p - 3)= 0 \\ \\ \implies (3 {p} - 4) = 0 \: \: or \: \: ( 4p - 3)= 0 \\ \\ \implies 3 {p} = 4\: \: or \: \: 4p = 3 \\ \\ \implies {p} = (4)/(3) \: \: or \: \: p = (3)/(4) \\ \\ \implies {p} = (4)/(3), \: (3)/(4) \\ \\`

Answer 2

((22•3p2) + 25p) + 12

12 • 12 = 144

-9 + -16 = -25

12p2 - 16p - 9p - 12

4p • (3p-4)

3 • (3p-4)

(4p-3) • (3p-4)

Answer: (3p - 4) • (4p - 3)