2/5x+1=4x+3

Simple and best practice solution for 2/5x+1=4x+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 2/5x+1=4x+3 equation:



2/5x+1=4x+3
We move all terms to the left:
2/5x+1-(4x+3)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
We get rid of parentheses
2/5x-4x-3+1=0
We multiply all the terms by the denominator
-4x*5x-3*5x+1*5x+2=0
Wy multiply elements
-20x^2-15x+5x+2=0
We add all the numbers together, and all the variables
-20x^2-10x+2=0
a = -20; b = -10; c = +2;
Δ = b2-4ac
Δ = -102-4·(-20)·2
Δ = 260
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{260}=\sqrt{4*65}=\sqrt{4}*\sqrt{65}=2\sqrt{65}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-2\sqrt{65}}{2*-20}=\frac{10-2\sqrt{65}}{-40} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+2\sqrt{65}}{2*-20}=\frac{10+2\sqrt{65}}{-40} $

See similar equations:

| 84/y=6 | | 4x-x+x+7=15 | | x2+25=21 | | 1/7​ (49−14x)=1/6​ (12x−42) | | -8+6b=10 | | x-56=-23 | | -20x+21=70x-150 | | 9j-1=-9+10j | | -24=w/3-6 | | 3(4x+3)-4=12x+5 | | 8s=17 | | 1/7(49−14x)=1/6(12x−42) | | 6x+13=5(x+3) | | u2=75 | | 29y=8y | | 3y-12=54 | | 3(x-2)=3x+8 | | 4/5=b/9 | | 2i+10=9i+3 | | 63=9k;5,6,7,8 | | x-42=36 | | 14/32=c/15 | | t+7=8t | | 2x√+11=13 | | 3(x-4)^2=-75 | | 56=44+x | | 2(x+5=16-4x | | k+19=29 | | 14=2+4f | | 56=8y−24 | | 2x√X+11=13 | | -(x+2)+2x=17 |

Equations solver categories