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x=0.6(x-0.4/0.6)
We move all terms to the left:
x-(0.6(x-0.4/0.6))=0
We add all the numbers together, and all the variables
x-(0.6(+x-0.4/0.6))=0
We multiply all the terms by the denominator
x*0.6))-(0.6(+x-0.4=0
We add all the numbers together, and all the variables
x+x*0.6))-(0.6(-0.4=0
Wy multiply elements
0x^2+x-0.4=0
We add all the numbers together, and all the variables
x^2+x-0.4=0
a = 1; b = 1; c = -0.4;
Δ = b2-4ac
Δ = 12-4·1·(-0.4)
Δ = 2.6
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{-(1)-\sqrt{2.6}}{2*1}=\frac{-1-\sqrt{2.6}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{2.6}}{2*1}=\frac{-1+\sqrt{2.6}}{2} $
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