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6.4x^2+5=-14.6x
We move all terms to the left:
6.4x^2+5-(-14.6x)=0
We get rid of parentheses
6.4x^2+14.6x+5=0
a = 6.4; b = 14.6; c = +5;
Δ = b2-4ac
Δ = 14.62-4·6.4·5
Δ = 85.16
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{-(14.6)-\sqrt{85.16}}{2*6.4}=\frac{-14.6-\sqrt{85.16}}{12.8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14.6)+\sqrt{85.16}}{2*6.4}=\frac{-14.6+\sqrt{85.16}}{12.8} $
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