SOLUTION: Solve each equation 10b^2-15b=8b-12 Thank you

Question 190085: Solve each equation 10b^2-15b=8b-12 Thank you
Found 2 solutions by Mathtut, bsmath:
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!

:

:
b=4/5 and b=3/2
Answer by bsmath(21) (Show Source): You can put this solution on YOUR website!
10b^2-15b=8b-12
Subtract the right-hand side of the equation from both sides:
10b^2-15b-8b+12=0
Now combine like terms:
10b^2-23b+12=0
Now it looks like we need the quadratic formula:
-b/2a +-((b^2-4ac)^1/2)/2a, where a is the coeffient of the b^2 term,
b is the coefficient of the b term, and c is the coefficient of the
integer term. So, a=10, b=-23, and c=12. Plugging in the values gives us:
b=23/20 +- (((-23)^2-(4)(10)(12))^1/2)/20. We now have
23/20 +-((529-480)^1/2)/20=23/20 +-((49)^1/2)/20=
23/20 +-7/20=30/20, 16/20=3/2, 4/5. Check the answer by plugging in the
values: 10(3/2)^2-23(3/2)+12=0, 90/4-69/2+12=90/4-138/4=12=-48/4+48/4=0.
You can check the second result the same way.

RELATED QUESTIONS
Solve each equation. I am having trouble with this.... (answered by Mathtut)
what is 10b exponent 2 - 15b = 8b - 12 its dealing with factoring trinomials: ax exponent (answered by nerdybill)
a2 + 2ab � 80b2 A. (a � 10)(a + 8b) B. (a � 10b)(a � 8b) C. (answered by ewatrrr)
Would you please help me factor: 5a+10b/4a+8b thank... (answered by fcabanski)
a^2 + 2ab - 80b^2 A. (a - 10)(a + 8b) B. (a - 10b)(a - 8b) C. (a + 10b)(a - 8b) (answered by ewatrrr)
Im trying to solve this equation -5b + 3 = -5 + 10b The 4 choices i have are 1.)8/15 (answered by checkley79)
7a-10b+9a-8b (answered by MathLover1)
8b�=3-10b (answered by farohw)
Solve (3b^2 - 12/6b^2 + 12b)(5b -10/10b^2 +... (answered by Fombitz)