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5(15+15y)15y=-15
We move all terms to the left:
5(15+15y)15y-(-15)=0
We add all the numbers together, and all the variables
5(15y+15)15y-(-15)=0
We add all the numbers together, and all the variables
5(15y+15)15y+15=0
We multiply parentheses
1125y^2+1125y+15=0
a = 1125; b = 1125; c = +15;
Δ = b2-4ac
Δ = 11252-4·1125·15
Δ = 1198125
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}$$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1198125}=\sqrt{5625*213}=\sqrt{5625}*\sqrt{213}=75\sqrt{213}$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1125)-75\sqrt{213}}{2*1125}=\frac{-1125-75\sqrt{213}}{2250} $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1125)+75\sqrt{213}}{2*1125}=\frac{-1125+75\sqrt{213}}{2250} $
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