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10x^2+43x+28=
We move all terms to the left:
10x^2+43x+28-()=0
We add all the numbers together, and all the variables
10x^2+43x=0
a = 10; b = 43; c = 0;
Δ = b2-4ac
Δ = 432-4·10·0
Δ = 1849
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{1849}=43$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(43)-43}{2*10}=\frac{-86}{20} =-4+3/10 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(43)+43}{2*10}=\frac{0}{20} =0 $
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