7d^2-9d+3=5d^2

Solution for 7d^2-9d+3=5d^2 equation:

7d^2-9d+3=5d^2

We move all terms to the left:

7d^2-9d+3-(5d^2)=0

determiningTheFunctionDomain
7d^2-5d^2-9d+3=0

We add all the numbers together, and all the variables

2d^2-9d+3=0

a = 2; b = -9; c = +3;
Δ = b2-4ac
Δ = -92-4·2·3
Δ = 57
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-\sqrt{57}}{2*2}=\frac{9-\sqrt{57}}{4}
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+\sqrt{57}}{2*2}=\frac{9+\sqrt{57}}{4}
$