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6x(x+3)=x^2+5x
We move all terms to the left:
6x(x+3)-(x^2+5x)=0
We multiply parentheses
6x^2+18x-(x^2+5x)=0
We get rid of parentheses
6x^2-x^2+18x-5x=0
We add all the numbers together, and all the variables
5x^2+13x=0
a = 5; b = 13; c = 0;
Δ = b2-4ac
Δ = 132-4·5·0
Δ = 169
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{169}=13$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13)-13}{2*5}=\frac{-26}{10} =-2+3/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+13}{2*5}=\frac{0}{10} =0 $
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