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5x^2=66x+135
We move all terms to the left:
5x^2-(66x+135)=0
We get rid of parentheses
5x^2-66x-135=0
a = 5; b = -66; c = -135;
Δ = b2-4ac
Δ = -662-4·5·(-135)
Δ = 7056
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{7056}=84$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-66)-84}{2*5}=\frac{-18}{10} =-1+4/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-66)+84}{2*5}=\frac{150}{10} =15 $
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