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-5x(3x-3)-5x+4=-21
We move all terms to the left:
-5x(3x-3)-5x+4-(-21)=0
We add all the numbers together, and all the variables
-5x-5x(3x-3)+25=0
We multiply parentheses
-15x^2-5x+15x+25=0
We add all the numbers together, and all the variables
-15x^2+10x+25=0
a = -15; b = 10; c = +25;
Δ = b2-4ac
Δ = 102-4·(-15)·25
Δ = 1600
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{1600}=40$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-40}{2*-15}=\frac{-50}{-30} =1+2/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+40}{2*-15}=\frac{30}{-30} =-1 $
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