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(11x-6)(5x+8)=0
We multiply parentheses ..
(+55x^2+88x-30x-48)=0
We get rid of parentheses
55x^2+88x-30x-48=0
We add all the numbers together, and all the variables
55x^2+58x-48=0
a = 55; b = 58; c = -48;
Δ = b2-4ac
Δ = 582-4·55·(-48)
Δ = 13924
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{13924}=118$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(58)-118}{2*55}=\frac{-176}{110} =-1+3/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(58)+118}{2*55}=\frac{60}{110} =6/11 $
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