Given that A. B satisfies 3A ^ 2 + 5|b | = 7, s = 2A ^ 2-3|b |, find the value range of S,

Given that A. B satisfies 3A ^ 2 + 5|b | = 7, s = 2A ^ 2-3|b |, find the value range of S,

From the question set: 3A & #178; + 5|b| = 7, we can get the following results:
3A & # 178; = 7-5| B | and | B | ≤ 7 / 5
∴-19|b|≥-133/5
∴14-19|b|≥-63/5
∴3S
=2(3a²)-9|b|
=14-10|b|-9|b|
=14-19|b|≥-63/5
That is: 3S ≥ - 63 / 5
∴S≥-21/5