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0.1x=0.2(x+2)0.1x=0.2(x+2)
We move all terms to the left:
0.1x-(0.2(x+2)0.1x)=0
We calculate terms in parentheses: -(0.2(x+2)0.1x), so:We get rid of parentheses
0.2(x+2)0.1x
We multiply parentheses
0x^2+0x
We add all the numbers together, and all the variables
x^2+x
Back to the equation:
-(x^2+x)
-x^2+0.1x-x=0
We add all the numbers together, and all the variables
-1x^2-0.9x=0
a = -1; b = -0.9; c = 0;
Δ = b2-4ac
Δ = -0.92-4·(-1)·0
Δ = 0.81
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-0.9)-\sqrt{0.81}}{2*-1}=\frac{0.9-\sqrt{0.81}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.9)+\sqrt{0.81}}{2*-1}=\frac{0.9+\sqrt{0.81}}{-2} $
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