9g=3(-4+5g)9g

Solution for 9g=3(-4+5g)9g equation:

9g=3(-4+5g)9g

We move all terms to the left:

9g-(3(-4+5g)9g)=0

We add all the numbers together, and all the variables

9g-(3(5g-4)9g)=0


We calculate terms in parentheses: -(3(5g-4)9g), so:

3(5g-4)9g

We multiply parentheses

135g^2-108g

Back to the equation:

-(135g^2-108g)


We get rid of parentheses

-135g^2+9g+108g=0

We add all the numbers together, and all the variables

-135g^2+117g=0

a = -135; b = 117; c = 0;
Δ = b2-4ac
Δ = 1172-4·(-135)·0
Δ = 13689
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{13689}=117$
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(117)-117}{2*-135}=\frac{-234}{-270}
=13/15
$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(117)+117}{2*-135}=\frac{0}{-270}
=0
$