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11x(x=13)+37
We move all terms to the left:
11x(x-(13)+37)=0
We add all the numbers together, and all the variables
11x(x+24)=0
We multiply parentheses
11x^2+264x=0
a = 11; b = 264; c = 0;
Δ = b2-4ac
Δ = 2642-4·11·0
Δ = 69696
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{69696}=264$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(264)-264}{2*11}=\frac{-528}{22} =-24 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(264)+264}{2*11}=\frac{0}{22} =0 $
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