x^2=120-90x+51x^2

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Solution for x^2=120-90x+51x^2 equation: 



x^2=120-90x+51x^2

We move all terms to the left:

x^2-(120-90x+51x^2)=0

We get rid of parentheses

x^2-51x^2+90x-120=0

We add all the numbers together, and all the variables

-50x^2+90x-120=0

a = -50; b = 90; c = -120;
Δ = b2-4ac
Δ = 902-4·(-50)·(-120)
Δ = -15900
Delta is less than zero, so there is no solution for the equation

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