2/5a-5/6a=4-2=2

Solution for 2/5a-5/6a=4-2=2 equation:

2/5a-5/6a=4-2=2

We move all terms to the left:

2/5a-5/6a-(4-2)=0


Domain of the equation: 5a!=0

a!=0/5

a!=0

a∈R



Domain of the equation: 6a!=0

a!=0/6

a!=0

a∈R


We add all the numbers together, and all the variables

2/5a-5/6a-2=0

We calculate fractions


12a/30a^2+(-25a)/30a^2-2=0

We multiply all the terms by the denominator


12a+(-25a)-2*30a^2=0

Wy multiply elements

-60a^2+12a+(-25a)=0

We get rid of parentheses

-60a^2+12a-25a=0

We add all the numbers together, and all the variables

-60a^2-13a=0

a = -60; b = -13; c = 0;
Δ = b2-4ac
Δ = -132-4·(-60)·0
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-13)-13}{2*-60}=\frac{0}{-120}
=0
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+13}{2*-60}=\frac{26}{-120}
=-13/60
$