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0.4+x=(0.2-x)(0.3-x)(20)
We move all terms to the left:
0.4+x-((0.2-x)(0.3-x)(20))=0
We add all the numbers together, and all the variables
x-((-1x+0.2)(-1x+0.3)20)+0.4=0
We multiply parentheses ..
-((+x^2-0.3x-0.2x+0.06)20)+x+0.4=0
We calculate terms in parentheses: -((+x^2-0.3x-0.2x+0.06)20), so:We add all the numbers together, and all the variables
(+x^2-0.3x-0.2x+0.06)20
We multiply parentheses
20x^2+0x+0x+1.2
We add all the numbers together, and all the variables
20x^2+2x+1.2
Back to the equation:
-(20x^2+2x+1.2)
x-(20x^2+2x+1.2)+0.4=0
We get rid of parentheses
-20x^2+x-2x-1.2+0.4=0
We add all the numbers together, and all the variables
-20x^2-1x-0.8=0
a = -20; b = -1; c = -0.8;
Δ = b2-4ac
Δ = -12-4·(-20)·(-0.8)
Δ = -63
Delta is less than zero, so there is no solution for the equation
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