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-13(x+9)15x=23
We move all terms to the left:
-13(x+9)15x-(23)=0
We multiply parentheses
-195x^2-1755x-23=0
a = -195; b = -1755; c = -23;
Δ = b2-4ac
Δ = -17552-4·(-195)·(-23)
Δ = 3062085
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1755)-\sqrt{3062085}}{2*-195}=\frac{1755-\sqrt{3062085}}{-390} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1755)+\sqrt{3062085}}{2*-195}=\frac{1755+\sqrt{3062085}}{-390} $
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