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-5(-3x-3)5x+4=-1
We move all terms to the left:
-5(-3x-3)5x+4-(-1)=0
We add all the numbers together, and all the variables
-5(-3x-3)5x+5=0
We multiply parentheses
75x^2+75x+5=0
a = 75; b = 75; c = +5;
Δ = b2-4ac
Δ = 752-4·75·5
Δ = 4125
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{4125}=\sqrt{25*165}=\sqrt{25}*\sqrt{165}=5\sqrt{165}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(75)-5\sqrt{165}}{2*75}=\frac{-75-5\sqrt{165}}{150} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(75)+5\sqrt{165}}{2*75}=\frac{-75+5\sqrt{165}}{150} $
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