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-5x(5x-6)=0
We multiply parentheses
-25x^2+30x=0
a = -25; b = 30; c = 0;
Δ = b2-4ac
Δ = 302-4·(-25)·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$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-30}{2*-25}=\frac{-60}{-50} =1+1/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+30}{2*-25}=\frac{0}{-50} =0 $
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