SOLUTION: Solve the following equation (2x+3)(x+4)=1

Algebra ->  Radicals -> SOLUTION: Solve the following equation (2x+3)(x+4)=1      Log On


   

Question 411172: Solve the following equation
(2x+3)(x+4)=1
Found 2 solutions by solver91311, MathLover1:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Use FOIL



Standard form



Now just solve the quadratic. It doesn't factor, so use the quadratic formula.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

%282x%2B3%29%28x%2B4%29=1....multiply


2x%5E2%2B8x%2B3x%2B12=1

2x%5E2%2B11x%2B12-1=0

2x%5E2%2B11x%2B11=0......use quadratic formula to find roots

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ......a=2, b=11, and c=11

x+=+%28-11+%2B-+sqrt%28+11%5E2-4%2A2%2A11+%29%29%2F%282%2A2%29+


x+=+%28-11+%2B-+sqrt%28+121-88+%29%29%2F4+


x+=+%28-11+%2B-+sqrt%28+33+%29%29%2F4+

x+=+%28-11+%2B-+%285.75%29%29%2F4+

x1+=+%28-11+%2B+%285.75%29%29%2F4+

x1+=+%28-5.25%29%2F4+

x1+=+-1.31+

x2+=+%28-11+-+%285.75%29%29%2F4+

x2+=+%28-16.75%29%2F4+

x2+=+-4.19+