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36x(2x+1)=10.800
We move all terms to the left:
36x(2x+1)-(10.800)=0
We add all the numbers together, and all the variables
36x(2x+1)-(10.8)=0
We add all the numbers together, and all the variables
36x(2x+1)-10.8=0
We multiply parentheses
72x^2+36x-10.8=0
a = 72; b = 36; c = -10.8;
Δ = b2-4ac
Δ = 362-4·72·(-10.8)
Δ = 4406.4
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{-(36)-\sqrt{4406.4}}{2*72}=\frac{-36-\sqrt{4406.4}}{144} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+\sqrt{4406.4}}{2*72}=\frac{-36+\sqrt{4406.4}}{144} $
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