7/8a+2/5=3/4a

Solution for 7/8a+2/5=3/4a equation:

7/8a+2/5=3/4a

We move all terms to the left:

7/8a+2/5-(3/4a)=0


Domain of the equation: 8a!=0

a!=0/8

a!=0

a∈R



Domain of the equation: 4a)!=0

a!=0/1

a!=0

a∈R


We add all the numbers together, and all the variables

7/8a-(+3/4a)+2/5=0

We get rid of parentheses

7/8a-3/4a+2/5=0

We calculate fractions


256a^2/800a^2+700a/800a^2+(-600a)/800a^2=0

We multiply all the terms by the denominator


256a^2+700a+(-600a)=0

We get rid of parentheses

256a^2+700a-600a=0

We add all the numbers together, and all the variables

256a^2+100a=0

a = 256; b = 100; c = 0;
Δ = b2-4ac
Δ = 1002-4·256·0
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(100)-100}{2*256}=\frac{-200}{512}
=-25/64
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(100)+100}{2*256}=\frac{0}{512}
=0
$