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-3x(-x+4)-5x+5=-15
We move all terms to the left:
-3x(-x+4)-5x+5-(-15)=0
We add all the numbers together, and all the variables
-3x(-1x+4)-5x+5-(-15)=0
We add all the numbers together, and all the variables
-5x-3x(-1x+4)+20=0
We multiply parentheses
3x^2-5x-12x+20=0
We add all the numbers together, and all the variables
3x^2-17x+20=0
a = 3; b = -17; c = +20;
Δ = b2-4ac
Δ = -172-4·3·20
Δ = 49
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{49}=7$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17)-7}{2*3}=\frac{10}{6} =1+2/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+7}{2*3}=\frac{24}{6} =4 $
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