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5x^2+6x=368
We move all terms to the left:
5x^2+6x-(368)=0
a = 5; b = 6; c = -368;
Δ = b2-4ac
Δ = 62-4·5·(-368)
Δ = 7396
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{7396}=86$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-86}{2*5}=\frac{-92}{10} =-9+1/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+86}{2*5}=\frac{80}{10} =8 $
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