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(6x+5)(3x-2)=0
We multiply parentheses ..
(+18x^2-12x+15x-10)=0
We get rid of parentheses
18x^2-12x+15x-10=0
We add all the numbers together, and all the variables
18x^2+3x-10=0
a = 18; b = 3; c = -10;
Δ = b2-4ac
Δ = 32-4·18·(-10)
Δ = 729
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{729}=27$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-27}{2*18}=\frac{-30}{36} =-5/6 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+27}{2*18}=\frac{24}{36} =2/3 $
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