(-2g+3)(-g+7)=0

Solution for (-2g+3)(-g+7)=0 equation:

(-2g+3)(-g+7)=0

We add all the numbers together, and all the variables

(-2g+3)(-1g+7)=0

We multiply parentheses ..

(+2g^2-14g-3g+21)=0

We get rid of parentheses

2g^2-14g-3g+21=0

We add all the numbers together, and all the variables

2g^2-17g+21=0

a = 2; b = -17; c = +21;
Δ = b2-4ac
Δ = -172-4·2·21
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17)-11}{2*2}=\frac{6}{4}
=1+1/2
$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+11}{2*2}=\frac{28}{4}
=7
$