a=278a+(a/2)

Solution for a=278a+(a/2) equation:

a=278a+(a/2)

We move all terms to the left:

a-(278a+(a/2))=0

We add all the numbers together, and all the variables

a-(278a+(+a/2))=0

We multiply all the terms by the denominator


a*2))-(278a+(+a=0

We add all the numbers together, and all the variables

a+a*2))-(278a+(=0

Wy multiply elements

2a^2+a=0

a = 2; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·2·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*2}=\frac{-2}{4}
=-1/2
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*2}=\frac{0}{4}
=0
$