3/5a-3/4=-1/2a+3

Simple and best practice solution for 3/5a-3/4=-1/2a+3 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 3/5a-3/4=-1/2a+3 equation:



3/5a-3/4=-1/2a+3
We move all terms to the left:
3/5a-3/4-(-1/2a+3)=0
Domain of the equation: 5a!=0
a!=0/5
a!=0
a∈R
Domain of the equation: 2a+3)!=0
a∈R
We get rid of parentheses
3/5a+1/2a-3-3/4=0
We calculate fractions
(-60a^2)/160a^2+96a/160a^2+80a/160a^2-3=0
We multiply all the terms by the denominator
(-60a^2)+96a+80a-3*160a^2=0
We add all the numbers together, and all the variables
(-60a^2)+176a-3*160a^2=0
Wy multiply elements
(-60a^2)-480a^2+176a=0
We get rid of parentheses
-60a^2-480a^2+176a=0
We add all the numbers together, and all the variables
-540a^2+176a=0
a = -540; b = 176; c = 0;
Δ = b2-4ac
Δ = 1762-4·(-540)·0
Δ = 30976
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{30976}=176$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(176)-176}{2*-540}=\frac{-352}{-1080} =44/135 $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(176)+176}{2*-540}=\frac{0}{-1080} =0 $

See similar equations:

| -h=-16 | | x/2-12=29 | | 4n-6(n+6)=4n | | 26-16=2(x-7) | | 4x+3.5=0 | | -37+n=-13 | | 21=v/4+15 | | -4+31x=29x+4 | | 8a+8=a+2-12 | | -3k+3(4-2k)=-3k-3(k-6) | | -16x=70 | | 0.5x-02.25=3.6+4x | | -4(×+10)=-7x+65 | | 6(x-3)=-138 | | 45.62=-6.2v | | 35+4y-3=16y-10-5y= | | 10x^2-51x=0 | | A(8x+7)=0 | | -6+8x=58 | | -6(2x+1)-1=-(x-3)+1 | | 1x+1.5=4+1/2x | | 8^(x+-4)=16 | | n2−2n−3=0 | | -6x+6x=-12+3x | | 1x+1+1/2=4+1/2x | | x+23+3x=-15-3x-18= | | (-1/3)(-3x)={-1/3)*4/3 | | 25/x=48/60 | | 3x–1=6x+2 | | x4+10=16 | | -4x+8x=-5+8x-3x | | 6(5+5x)=-150 |

Equations solver categories