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(5x+15)(3x-3)=1
We move all terms to the left:
(5x+15)(3x-3)-(1)=0
We multiply parentheses ..
(+15x^2-15x+45x-45)-1=0
We get rid of parentheses
15x^2-15x+45x-45-1=0
We add all the numbers together, and all the variables
15x^2+30x-46=0
a = 15; b = 30; c = -46;
Δ = b2-4ac
Δ = 302-4·15·(-46)
Δ = 3660
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{3660}=\sqrt{4*915}=\sqrt{4}*\sqrt{915}=2\sqrt{915}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-2\sqrt{915}}{2*15}=\frac{-30-2\sqrt{915}}{30} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+2\sqrt{915}}{2*15}=\frac{-30+2\sqrt{915}}{30} $
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