7y-2(5=3y/2)=5y-17

Solution for 7y-2(5=3y/2)=5y-17 equation:

7y-2(5=3y/2)=5y-17

We move all terms to the left:

7y-2(5-(3y/2))=0

We add all the numbers together, and all the variables

7y-2(5-(+3y/2))=0

We multiply all the terms by the denominator


7y*2))-2(5-(+3y=0

We add all the numbers together, and all the variables

3y+7y*2))-2(5-(=0

Wy multiply elements

14y^2+3y=0

a = 14; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·14·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3}{2*14}=\frac{-6}{28}
=-3/14
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*14}=\frac{0}{28}
=0
$