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2x(5x+7x)=216
We move all terms to the left:
2x(5x+7x)-(216)=0
We add all the numbers together, and all the variables
2x(+12x)-216=0
We multiply parentheses
24x^2-216=0
a = 24; b = 0; c = -216;
Δ = b2-4ac
Δ = 02-4·24·(-216)
Δ = 20736
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{20736}=144$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-144}{2*24}=\frac{-144}{48} =-3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144}{2*24}=\frac{144}{48} =3 $
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