4g-7g/2g=5

Solution for 4g-7g/2g=5 equation:

4g-7g/2g=5

We move all terms to the left:

4g-7g/2g-(5)=0


Domain of the equation: 2g!=0

g!=0/2

g!=0

g∈R


We multiply all the terms by the denominator


4g*2g-7g-5*2g=0

We add all the numbers together, and all the variables

-7g+4g*2g-5*2g=0

Wy multiply elements

8g^2-7g-10g=0

We add all the numbers together, and all the variables

8g^2-17g=0

a = 8; b = -17; c = 0;
Δ = b2-4ac
Δ = -172-4·8·0
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17)-17}{2*8}=\frac{0}{16}
=0
$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+17}{2*8}=\frac{34}{16}
=2+1/8
$