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

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



5(2+x)=-2x(x-3)+5x
We move all terms to the left:
5(2+x)-(-2x(x-3)+5x)=0
We add all the numbers together, and all the variables
5(x+2)-(-2x(x-3)+5x)=0
We multiply parentheses
5x-(-2x(x-3)+5x)+10=0
We calculate terms in parentheses: -(-2x(x-3)+5x), so:
-2x(x-3)+5x
We add all the numbers together, and all the variables
5x-2x(x-3)
We multiply parentheses
-2x^2+5x+6x
We add all the numbers together, and all the variables
-2x^2+11x
Back to the equation:
-(-2x^2+11x)
We get rid of parentheses
2x^2-11x+5x+10=0
We add all the numbers together, and all the variables
2x^2-6x+10=0
a = 2; b = -6; c = +10;
Δ = b2-4ac
Δ = -62-4·2·10
Δ = -44
Delta is less than zero, so there is no solution for the equation

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