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(3x+7)(8x+9)=2
We move all terms to the left:
(3x+7)(8x+9)-(2)=0
We multiply parentheses ..
(+24x^2+27x+56x+63)-2=0
We get rid of parentheses
24x^2+27x+56x+63-2=0
We add all the numbers together, and all the variables
24x^2+83x+61=0
a = 24; b = 83; c = +61;
Δ = b2-4ac
Δ = 832-4·24·61
Δ = 1033
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{-(83)-\sqrt{1033}}{2*24}=\frac{-83-\sqrt{1033}}{48} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(83)+\sqrt{1033}}{2*24}=\frac{-83+\sqrt{1033}}{48} $
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