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5(8x+2)10x=0
We multiply parentheses
400x^2+100x=0
a = 400; b = 100; c = 0;
Δ = b2-4ac
Δ = 1002-4·400·0
Δ = 10000
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{10000}=100$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(100)-100}{2*400}=\frac{-200}{800} =-1/4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(100)+100}{2*400}=\frac{0}{800} =0 $
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