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x(x+2)-10=x(7+2x)
We move all terms to the left:
x(x+2)-10-(x(7+2x))=0
We add all the numbers together, and all the variables
x(x+2)-(x(2x+7))-10=0
We multiply parentheses
x^2+2x-(x(2x+7))-10=0
We calculate terms in parentheses: -(x(2x+7)), so:We get rid of parentheses
x(2x+7)
We multiply parentheses
2x^2+7x
Back to the equation:
-(2x^2+7x)
x^2-2x^2+2x-7x-10=0
We add all the numbers together, and all the variables
-1x^2-5x-10=0
a = -1; b = -5; c = -10;
Δ = b2-4ac
Δ = -52-4·(-1)·(-10)
Δ = -15
Delta is less than zero, so there is no solution for the equation
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