5x(3-4x)+x(11x-2)=6x(1-x)-3(2+x^2)

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Solution for 5x(3-4x)+x(11x-2)=6x(1-x)-3(2+x^2) equation:



5x(3-4x)+x(11x-2)=6x(1-x)-3(2+x^2)
We move all terms to the left:
5x(3-4x)+x(11x-2)-(6x(1-x)-3(2+x^2))=0
We add all the numbers together, and all the variables
-(6x(-1x+1)-3(2+x^2))+5x(-4x+3)+x(11x-2)=0
We multiply parentheses
-(6x(-1x+1)-3(2+x^2))-20x^2+11x^2+15x-2x=0
We calculate terms in parentheses: -(6x(-1x+1)-3(2+x^2)), so:
6x(-1x+1)-3(2+x^2)
determiningTheFunctionDomain -3(2+x^2)+6x(-1x+1)
We multiply parentheses
-3x^2-6x^2+6x-6
We add all the numbers together, and all the variables
-9x^2+6x-6
Back to the equation:
-(-9x^2+6x-6)
We add all the numbers together, and all the variables
-9x^2-(-9x^2+6x-6)+13x=0
We get rid of parentheses
-9x^2+9x^2-6x+13x+6=0
We add all the numbers together, and all the variables
7x+6=0
We move all terms containing x to the left, all other terms to the right
7x=-6
x=-6/7
x=-6/7

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