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70x^2+49x+30x+21=180
We move all terms to the left:
70x^2+49x+30x+21-(180)=0
We add all the numbers together, and all the variables
70x^2+79x-159=0
a = 70; b = 79; c = -159;
Δ = b2-4ac
Δ = 792-4·70·(-159)
Δ = 50761
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{-(79)-\sqrt{50761}}{2*70}=\frac{-79-\sqrt{50761}}{140} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(79)+\sqrt{50761}}{2*70}=\frac{-79+\sqrt{50761}}{140} $
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