SOLUTION: I have had a very hard time with this and it is making no sense to me at all. Can some one please help me? Solve this equation. 3x(2x + 1) = 18

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I have had a very hard time with this and it is making no sense to me at all. Can some one please help me? Solve this equation. 3x(2x + 1) = 18      Log On


   

Question 289895: I have had a very hard time with this and it is making no sense to me at all. Can some one please help me?
Solve this equation.
3x(2x + 1) = 18
Found 2 solutions by Fombitz, richwmiller:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
3x%282x+%2B+1%29+=+18
x%282x+%2B+1%29+=+6
2x%5E2+%2B+x+=+6
2x%5E2+%2B+x+-+6=0
It's a quadratic equation in x.
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.
.
+graph%28+300%2C+300%2C+-5%2C+5%2C+-10%2C+10%2C+2x%5E2%2Bx-6%29+
.
.
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You can try solving by graphing, factoring, or using the quadratic equation to solve for x.
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
where
a=2
b=1
c=-6

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
So what did you try? nothing? Then where is your work?
divide by 3 first
x*(2x+1)=6
2x^2+x-6=0
factors into
(x+2) (2 x-3) = 0
x=-2 and x=3/2