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.8x+.6=5/6x-1
We move all terms to the left:
.8x+.6-(5/6x-1)=0
Domain of the equation: 6x-1)!=0We add all the numbers together, and all the variables
x∈R
.8x-(5/6x-1)+0.6=0
We get rid of parentheses
.8x-5/6x+1+0.6=0
We multiply all the terms by the denominator
(.8x)*6x+1*6x+(0.6)*6x-5=0
We add all the numbers together, and all the variables
(+.8x)*6x+1*6x+(0.6)*6x-5=0
We multiply parentheses
6x^2+1*6x+3.6x-5=0
Wy multiply elements
6x^2+6x+3.6x-5=0
We add all the numbers together, and all the variables
6x^2+9.6x-5=0
a = 6; b = 9.6; c = -5;
Δ = b2-4ac
Δ = 9.62-4·6·(-5)
Δ = 212.16
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{-(9.6)-\sqrt{212.16}}{2*6}=\frac{-9.6-\sqrt{212.16}}{12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9.6)+\sqrt{212.16}}{2*6}=\frac{-9.6+\sqrt{212.16}}{12} $
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