3x(2-x)+4=5-(3x-10)

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Solution for 3x(2-x)+4=5-(3x-10) equation:



3x(2-x)+4=5-(3x-10)
We move all terms to the left:
3x(2-x)+4-(5-(3x-10))=0
We add all the numbers together, and all the variables
3x(-1x+2)-(5-(3x-10))+4=0
We multiply parentheses
-3x^2+6x-(5-(3x-10))+4=0
We calculate terms in parentheses: -(5-(3x-10)), so:
5-(3x-10)
determiningTheFunctionDomain -(3x-10)+5
We get rid of parentheses
-3x+10+5
We add all the numbers together, and all the variables
-3x+15
Back to the equation:
-(-3x+15)
We get rid of parentheses
-3x^2+6x+3x-15+4=0
We add all the numbers together, and all the variables
-3x^2+9x-11=0
a = -3; b = 9; c = -11;
Δ = b2-4ac
Δ = 92-4·(-3)·(-11)
Δ = -51
Delta is less than zero, so there is no solution for the equation

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