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6=(3/4)(10x+16)
We move all terms to the left:
6-((3/4)(10x+16))=0
Domain of the equation: 4)(10x+16))!=0We add all the numbers together, and all the variables
x∈R
-((+3/4)(10x+16))+6=0
We multiply parentheses ..
-((+30x^2+3/4*16))+6=0
We multiply all the terms by the denominator
-((+30x^2+3+6*4*16))=0
We calculate terms in parentheses: -((+30x^2+3+6*4*16)), so:We get rid of parentheses
(+30x^2+3+6*4*16)
We get rid of parentheses
30x^2+3+6*4*16
We add all the numbers together, and all the variables
30x^2+387
Back to the equation:
-(30x^2+387)
-30x^2-387=0
a = -30; b = 0; c = -387;
Δ = b2-4ac
Δ = 02-4·(-30)·(-387)
Δ = -46440
Delta is less than zero, so there is no solution for the equation
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