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15x=3x*5x
We move all terms to the left:
15x-(3x*5x)=0
We add all the numbers together, and all the variables
15x-(+3x*5x)=0
We get rid of parentheses
15x-3x*5x=0
Wy multiply elements
-15x^2+15x=0
a = -15; b = 15; c = 0;
Δ = b2-4ac
Δ = 152-4·(-15)·0
Δ = 225
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{225}=15$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-15}{2*-15}=\frac{-30}{-30} =1 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+15}{2*-15}=\frac{0}{-30} =0 $
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