1/2(2h-1)=1/4(2h+12)

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Solution for 1/2(2h-1)=1/4(2h+12) equation:



1/2(2h-1)=1/4(2h+12)
We move all terms to the left:
1/2(2h-1)-(1/4(2h+12))=0
Domain of the equation: 2(2h-1)!=0
h∈R
Domain of the equation: 4(2h+12))!=0
h∈R
We calculate fractions
(4h2/(2(2h-1)*4(2h+12)))+(-2h2/(2(2h-1)*4(2h+12)))=0
We calculate terms in parentheses: +(4h2/(2(2h-1)*4(2h+12))), so:
4h2/(2(2h-1)*4(2h+12))
We multiply all the terms by the denominator
4h2
We add all the numbers together, and all the variables
4h^2
Back to the equation:
+(4h^2)
We calculate terms in parentheses: +(-2h2/(2(2h-1)*4(2h+12))), so:
-2h2/(2(2h-1)*4(2h+12))
We multiply all the terms by the denominator
-2h2
We add all the numbers together, and all the variables
-2h^2
Back to the equation:
+(-2h^2)
We add all the numbers together, and all the variables
4h^2+(-2h^2)=0
We get rid of parentheses
4h^2-2h^2=0
We add all the numbers together, and all the variables
2h^2=0
a = 2; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·2·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$h=\frac{-b}{2a}=\frac{0}{4}=0$

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