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x+5=(10+5)+9x^2+
We move all terms to the left:
x+5-((10+5)+9x^2+)=0
We add all the numbers together, and all the variables
-(15+9x^2+)+x+5=0
We get rid of parentheses
-9x^2+x-15+5-=0
We add all the numbers together, and all the variables
-9x^2+x=0
a = -9; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-9)·0
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$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-9}=\frac{-2}{-18} =1/9 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-9}=\frac{0}{-18} =0 $
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