(0.6+x)(0.4+x)/(0.8-x)(0.4-x)=3

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Solution for (0.6+x)(0.4+x)/(0.8-x)(0.4-x)=3 equation:



(0.6+x)(0.4+x)/(0.8-x)(0.4-x)=3
We move all terms to the left:
(0.6+x)(0.4+x)/(0.8-x)(0.4-x)-(3)=0
Domain of the equation: (0.8-x)(0.4-x)!=0
We move all terms containing x to the left, all other terms to the right
-x)(0.4-x!=-0.8
x∈R
We add all the numbers together, and all the variables
(x+0.6)(x+0.4)/(-1x+0.8)(-1x+0.4)-3=0
We multiply parentheses ..
(+x^2+0.4x+0.6x+0.24)/(-1x+0.8)(-1x+0.4)-3=0
We multiply all the terms by the denominator
(+x^2+0.4x+0.6x+0.24)-3*(-1x+0.8)(-1x+0.4)=0
We get rid of parentheses
x^2+0.4x+0.6x-3*(-1x+0.8)(-1x+0.4)+0.24=0
We multiply parentheses ..
x^2-3*(+x^2-0.4x-0.8x+0.32)+0.4x+0.6x+0.24=0
We add all the numbers together, and all the variables
x^2-3*(+x^2-0.4x-0.8x+0.32)+x+0.24=0
We multiply parentheses
x^2-3x^2-0x-0x+x-0.96+0.24=0
We add all the numbers together, and all the variables
-2x^2-1x-0.72=0
a = -2; b = -1; c = -0.72;
Δ = b2-4ac
Δ = -12-4·(-2)·(-0.72)
Δ = -4.76
Delta is less than zero, so there is no solution for the equation

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