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x=-16x^2+19.6x+58.8
We move all terms to the left:
x-(-16x^2+19.6x+58.8)=0
We get rid of parentheses
16x^2-19.6x+x-58.8=0
We add all the numbers together, and all the variables
16x^2-18.6x-58.8=0
a = 16; b = -18.6; c = -58.8;
Δ = b2-4ac
Δ = -18.62-4·16·(-58.8)
Δ = 4109.16
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{-(-18.6)-\sqrt{4109.16}}{2*16}=\frac{18.6-\sqrt{4109.16}}{32} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18.6)+\sqrt{4109.16}}{2*16}=\frac{18.6+\sqrt{4109.16}}{32} $
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