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1080=0.06x^2+8.4x
We move all terms to the left:
1080-(0.06x^2+8.4x)=0
We get rid of parentheses
-0.06x^2-8.4x+1080=0
a = -0.06; b = -8.4; c = +1080;
Δ = b2-4ac
Δ = -8.42-4·(-0.06)·1080
Δ = 329.76
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{-(-8.4)-\sqrt{329.76}}{2*-0.06}=\frac{8.4-\sqrt{329.76}}{-0.12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8.4)+\sqrt{329.76}}{2*-0.06}=\frac{8.4+\sqrt{329.76}}{-0.12} $
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