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5x(3x-2)=3x
We move all terms to the left:
5x(3x-2)-(3x)=0
We add all the numbers together, and all the variables
-3x+5x(3x-2)=0
We multiply parentheses
15x^2-3x-10x=0
We add all the numbers together, and all the variables
15x^2-13x=0
a = 15; b = -13; c = 0;
Δ = b2-4ac
Δ = -132-4·15·0
Δ = 169
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{169}=13$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-13)-13}{2*15}=\frac{0}{30} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+13}{2*15}=\frac{26}{30} =13/15 $
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