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3x=5x^2-12x
We move all terms to the left:
3x-(5x^2-12x)=0
We get rid of parentheses
-5x^2+3x+12x=0
We add all the numbers together, and all the variables
-5x^2+15x=0
a = -5; b = 15; c = 0;
Δ = b2-4ac
Δ = 152-4·(-5)·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$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-15}{2*-5}=\frac{-30}{-10} =+3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+15}{2*-5}=\frac{0}{-10} =0 $
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