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(11x+7)(-4x+2)=0
We multiply parentheses ..
(-44x^2+22x-28x+14)=0
We get rid of parentheses
-44x^2+22x-28x+14=0
We add all the numbers together, and all the variables
-44x^2-6x+14=0
a = -44; b = -6; c = +14;
Δ = b2-4ac
Δ = -62-4·(-44)·14
Δ = 2500
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{2500}=50$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-50}{2*-44}=\frac{-44}{-88} =1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+50}{2*-44}=\frac{56}{-88} =-7/11 $
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