3(x-5)=5-x(3-x)

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Solution for 3(x-5)=5-x(3-x) equation: 



3(x-5)=5-x(3-x)

We move all terms to the left:

3(x-5)-(5-x(3-x))=0

We add all the numbers together, and all the variables

3(x-5)-(5-x(-1x+3))=0

We multiply parentheses

3x-(5-x(-1x+3))-15=0



We calculate terms in parentheses: -(5-x(-1x+3)), so:

5-x(-1x+3)

determiningTheFunctionDomain
-x(-1x+3)+5

We multiply parentheses

1x^2-3x+5

We add all the numbers together, and all the variables

x^2-3x+5

Back to the equation:

-(x^2-3x+5)



We get rid of parentheses

-x^2+3x+3x-5-15=0

We add all the numbers together, and all the variables

-1x^2+6x-20=0

a = -1; b = 6; c = -20;
Δ = b2-4ac
Δ = 62-4·(-1)·(-20)
Δ = -44
Delta is less than zero, so there is no solution for the equation

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