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-5x(2x-6)=0
We multiply parentheses
-10x^2+30x=0
a = -10; b = 30; c = 0;
Δ = b2-4ac
Δ = 302-4·(-10)·0
Δ = 900
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{900}=30$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-30}{2*-10}=\frac{-60}{-20} =+3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+30}{2*-10}=\frac{0}{-20} =0 $
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