x2+(4/5)x=-1/4

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Solution for x2+(4/5)x=-1/4 equation:



x2+(4/5)x=-1/4
We move all terms to the left:
x2+(4/5)x-(-1/4)=0
Domain of the equation: 5)x!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
x2+(+4/5)x-(-1/4)=0
We add all the numbers together, and all the variables
x^2+(+4/5)x-(-1/4)=0
We multiply parentheses
x^2+4x^2-(-1/4)=0
We get rid of parentheses
x^2+4x^2+1/4=0
We multiply all the terms by the denominator
x^2*4+4x^2*4+1=0
Wy multiply elements
4x^2+16x^2+1=0
We add all the numbers together, and all the variables
20x^2+1=0
a = 20; b = 0; c = +1;
Δ = b2-4ac
Δ = 02-4·20·1
Δ = -80
Delta is less than zero, so there is no solution for the equation

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