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-2a*5a=-10a
We move all terms to the left:
-2a*5a-(-10a)=0
Wy multiply elements
-10a^2-(-10a)=0
We get rid of parentheses
-10a^2+10a=0
a = -10; b = 10; c = 0;
Δ = b2-4ac
Δ = 102-4·(-10)·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{100}=10$$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-10}{2*-10}=\frac{-20}{-20} =1 $$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+10}{2*-10}=\frac{0}{-20} =0 $
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