SOLUTION: Solve by factoring and using the principle of zero products. 4x^2=-11x-6. please help me and show work. I know the answer is X=-2,-3/4 but I didn't solve it the way they wanted

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Solve by factoring and using the principle of zero products. 4x^2=-11x-6. please help me and show work. I know the answer is X=-2,-3/4 but I didn't solve it the way they wanted       Log On


   

Question 1044454: Solve by factoring and using the principle of zero products.
4x^2=-11x-6. please help me and show work. I know the answer is X=-2,-3/4 but I didn't solve it the way they wanted me to. Thank you for your help
Found 2 solutions by MathLover1, MaxWong:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

4x%5E2=-11x-6
4x%5E2%2B11x%2B6=0.......factor, write 11x as 8x%2B3x
4x%5E2%2B8x%2B3x%2B6=0......group
%284x%5E2%2B8x%29%2B%283x%2B6%29=0
4x%28x%2B2%29%2B3%28x%2B2%29=0
%284x%2B3%29%28x%2B2%29=0
solutions:
if 4x%2B3=0=>4x=-3=>x=-3%2F4
if x%2B2=0=>x=-2



Answer by MaxWong(38) About Me  (Show Source):
You can put this solution on YOUR website!
4x^2 = -11x - 6
4x^2 + 11x + 6 = 0
(4x+3)(x+2) = 0
Set both factors to 0:
4x+3 = 0 x+2 = 0
x = -3/4 x = -2