(5g+3)(g=8)

Solution for (5g+3)(g=8) equation:

(5g+3)(g=8)

We move all terms to the left:

(5g+3)(g-(8))=0

We multiply parentheses ..

(+5g^2-40g+3g-24)=0

We get rid of parentheses

5g^2-40g+3g-24=0

We add all the numbers together, and all the variables

5g^2-37g-24=0

a = 5; b = -37; c = -24;
Δ = b2-4ac
Δ = -372-4·5·(-24)
Δ = 1849
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1849}=43$
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-37)-43}{2*5}=\frac{-6}{10}
=-3/5
$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+43}{2*5}=\frac{80}{10}
=8
$