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(3x+5)(3x+7)=0
We multiply parentheses ..
(+9x^2+21x+15x+35)=0
We get rid of parentheses
9x^2+21x+15x+35=0
We add all the numbers together, and all the variables
9x^2+36x+35=0
a = 9; b = 36; c = +35;
Δ = b2-4ac
Δ = 362-4·9·35
Δ = 36
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{36}=6$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(36)-6}{2*9}=\frac{-42}{18} =-2+1/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+6}{2*9}=\frac{-30}{18} =-1+2/3 $
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