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(2x)2+x=40
We move all terms to the left:
(2x)2+x-(40)=0
We add all the numbers together, and all the variables
2x^2+x-40=0
a = 2; b = 1; c = -40;
Δ = b2-4ac
Δ = 12-4·2·(-40)
Δ = 321
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{-(1)-\sqrt{321}}{2*2}=\frac{-1-\sqrt{321}}{4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{321}}{2*2}=\frac{-1+\sqrt{321}}{4} $
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