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57=(2x)^2/(.1-x)(.2-x)
We move all terms to the left:
57-((2x)^2/(.1-x)(.2-x))=0
Domain of the equation: (.1-x)(.2-x))!=0We add all the numbers together, and all the variables
We move all terms containing x to the left, all other terms to the right
-x)(.2-x)!=-.1
x∈R
-(2x^2/(-1x+0.1)(-1x+0.2))+57=0
We multiply parentheses ..
-(2x^2/(+x^2-0.2x-0.1x+0.02))+57=0
We multiply all the terms by the denominator
-(2x^2+57*(+x^2-0.2x-0.1x+0.02))=0
We calculate terms in parentheses: -(2x^2+57*(+x^2-0.2x-0.1x+0.02)), so:We get rid of parentheses
2x^2+57*(+x^2-0.2x-0.1x+0.02)
We multiply parentheses
2x^2+57x^2+0x+0x+1.14
We add all the numbers together, and all the variables
59x^2+2x+1.14
Back to the equation:
-(59x^2+2x+1.14)
-59x^2-2x-1.14=0
a = -59; b = -2; c = -1.14;
Δ = b2-4ac
Δ = -22-4·(-59)·(-1.14)
Δ = -265.04
Delta is less than zero, so there is no solution for the equation
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