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3x(2x+6)=14*30
We move all terms to the left:
3x(2x+6)-(14*30)=0
We add all the numbers together, and all the variables
3x(2x+6)-420=0
We multiply parentheses
6x^2+18x-420=0
a = 6; b = 18; c = -420;
Δ = b2-4ac
Δ = 182-4·6·(-420)
Δ = 10404
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{10404}=102$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-102}{2*6}=\frac{-120}{12} =-10 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+102}{2*6}=\frac{84}{12} =7 $
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