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(15x+3)5x=66
We move all terms to the left:
(15x+3)5x-(66)=0
We multiply parentheses
75x^2+15x-66=0
a = 75; b = 15; c = -66;
Δ = b2-4ac
Δ = 152-4·75·(-66)
Δ = 20025
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{20025}=\sqrt{225*89}=\sqrt{225}*\sqrt{89}=15\sqrt{89}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-15\sqrt{89}}{2*75}=\frac{-15-15\sqrt{89}}{150} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+15\sqrt{89}}{2*75}=\frac{-15+15\sqrt{89}}{150} $
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