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0=-4.9x^2-28x
We move all terms to the left:
0-(-4.9x^2-28x)=0
We add all the numbers together, and all the variables
-(-4.9x^2-28x)=0
We get rid of parentheses
4.9x^2+28x=0
a = 4.9; b = 28; c = 0;
Δ = b2-4ac
Δ = 282-4·4.9·0
Δ = 784
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{784}=28$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(28)-28}{2*4.9}=\frac{-56}{9.8} =-5+7/9.8 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(28)+28}{2*4.9}=\frac{0}{9.8} =0 $
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