(-g+9)(-5g+8)=0

Solution for (-g+9)(-5g+8)=0 equation:

(-g+9)(-5g+8)=0

We add all the numbers together, and all the variables

(-1g+9)(-5g+8)=0

We multiply parentheses ..

(+5g^2-8g-45g+72)=0

We get rid of parentheses

5g^2-8g-45g+72=0

We add all the numbers together, and all the variables

5g^2-53g+72=0

a = 5; b = -53; c = +72;
Δ = b2-4ac
Δ = -532-4·5·72
Δ = 1369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1369}=37$
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-53)-37}{2*5}=\frac{16}{10}
=1+3/5
$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-53)+37}{2*5}=\frac{90}{10}
=9
$