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x(-2x-5/3)=2-x/2
We move all terms to the left:
x(-2x-5/3)-(2-x/2)=0
We add all the numbers together, and all the variables
x(-2x-5/3)-(-x/2+2)=0
We multiply parentheses
-2x^2-5x^2-(-x/2+2)=0
We get rid of parentheses
-2x^2-5x^2+x/2-2=0
We multiply all the terms by the denominator
-2x^2*2-5x^2*2+x-2*2=0
We add all the numbers together, and all the variables
-2x^2*2-5x^2*2+x-4=0
Wy multiply elements
-4x^2-10x^2+x-4=0
We add all the numbers together, and all the variables
-14x^2+x-4=0
a = -14; b = 1; c = -4;
Δ = b2-4ac
Δ = 12-4·(-14)·(-4)
Δ = -223
Delta is less than zero, so there is no solution for the equation
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