2y2+5y=4y+5y=9y

Solution for 2y2+5y=4y+5y=9y equation:

2y^2+5y=4y+5y=9y

We move all terms to the left:

2y^2+5y-(4y+5y)=0

We add all the numbers together, and all the variables

2y^2+5y-(+9y)=0

We get rid of parentheses

2y^2+5y-9y=0

We add all the numbers together, and all the variables

2y^2-4y=0

a = 2; b = -4; c = 0;
Δ = b2-4ac
Δ = -42-4·2·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-4}{2*2}=\frac{0}{4}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+4}{2*2}=\frac{8}{4}
=2
$