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-30.4-12x=-4.9x^2
We move all terms to the left:
-30.4-12x-(-4.9x^2)=0
We get rid of parentheses
4.9x^2-12x-30.4=0
a = 4.9; b = -12; c = -30.4;
Δ = b2-4ac
Δ = -122-4·4.9·(-30.4)
Δ = 739.84
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-\sqrt{739.84}}{2*4.9}=\frac{12-\sqrt{739.84}}{9.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+\sqrt{739.84}}{2*4.9}=\frac{12+\sqrt{739.84}}{9.8} $
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