Question

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

Answer 1

Answer:

${p} = \frac{4}{3}, \: \frac{3}{4}$

Step-by-step explanation:

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

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)