(9g+4)(7g+8)=0

Solution for (9g+4)(7g+8)=0 equation:

(9g+4)(7g+8)=0

We multiply parentheses ..

(+63g^2+72g+28g+32)=0

We get rid of parentheses

63g^2+72g+28g+32=0

We add all the numbers together, and all the variables

63g^2+100g+32=0

a = 63; b = 100; c = +32;
Δ = b2-4ac
Δ = 1002-4·63·32
Δ = 1936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1936}=44$
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(100)-44}{2*63}=\frac{-144}{126}
=-1+1/7
$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(100)+44}{2*63}=\frac{-56}{126}
=-4/9
$