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7=(8/5)(3x+5)
We move all terms to the left:
7-((8/5)(3x+5))=0
Domain of the equation: 5)(3x+5))!=0We add all the numbers together, and all the variables
x∈R
-((+8/5)(3x+5))+7=0
We multiply parentheses ..
-((+24x^2+8/5*5))+7=0
We multiply all the terms by the denominator
-((+24x^2+8+7*5*5))=0
We calculate terms in parentheses: -((+24x^2+8+7*5*5)), so:We get rid of parentheses
(+24x^2+8+7*5*5)
We get rid of parentheses
24x^2+8+7*5*5
We add all the numbers together, and all the variables
24x^2+183
Back to the equation:
-(24x^2+183)
-24x^2-183=0
a = -24; b = 0; c = -183;
Δ = b2-4ac
Δ = 02-4·(-24)·(-183)
Δ = -17568
Delta is less than zero, so there is no solution for the equation
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