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x(5x+6)-x=-6-6x
We move all terms to the left:
x(5x+6)-x-(-6-6x)=0
We add all the numbers together, and all the variables
x(5x+6)-x-(-6x-6)=0
We add all the numbers together, and all the variables
-1x+x(5x+6)-(-6x-6)=0
We multiply parentheses
5x^2-1x+6x-(-6x-6)=0
We get rid of parentheses
5x^2-1x+6x+6x+6=0
We add all the numbers together, and all the variables
5x^2+11x+6=0
a = 5; b = 11; c = +6;
Δ = b2-4ac
Δ = 112-4·5·6
Δ = 1
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{1}=1$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-1}{2*5}=\frac{-12}{10} =-1+1/5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+1}{2*5}=\frac{-10}{10} =-1 $
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