1/4x-1/2=1/2x+3

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Solution for 1/4x-1/2=1/2x+3 equation:



1/4x-1/2=1/2x+3
We move all terms to the left:
1/4x-1/2-(1/2x+3)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
Domain of the equation: 2x+3)!=0
x∈R
We get rid of parentheses
1/4x-1/2x-3-1/2=0
We calculate fractions
8x/32x^2+(-4x)/32x^2+(-4x)/32x^2-3=0
We multiply all the terms by the denominator
8x+(-4x)+(-4x)-3*32x^2=0
Wy multiply elements
-96x^2+8x+(-4x)+(-4x)=0
We get rid of parentheses
-96x^2+8x-4x-4x=0
We add all the numbers together, and all the variables
-96x^2=0
a = -96; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-96)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{-192}=0$

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