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7x^2+10x+81x=2
We move all terms to the left:
7x^2+10x+81x-(2)=0
We add all the numbers together, and all the variables
7x^2+91x-2=0
a = 7; b = 91; c = -2;
Δ = b2-4ac
Δ = 912-4·7·(-2)
Δ = 8337
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{-(91)-\sqrt{8337}}{2*7}=\frac{-91-\sqrt{8337}}{14} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(91)+\sqrt{8337}}{2*7}=\frac{-91+\sqrt{8337}}{14} $
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