1/4x+5=1/8x+7

Simple and best practice solution for 1/4x+5=1/8x+7 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 1/4x+5=1/8x+7 equation:



1/4x+5=1/8x+7
We move all terms to the left:
1/4x+5-(1/8x+7)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
Domain of the equation: 8x+7)!=0
x∈R
We get rid of parentheses
1/4x-1/8x-7+5=0
We calculate fractions
8x/32x^2+(-4x)/32x^2-7+5=0
We add all the numbers together, and all the variables
8x/32x^2+(-4x)/32x^2-2=0
We multiply all the terms by the denominator
8x+(-4x)-2*32x^2=0
Wy multiply elements
-64x^2+8x+(-4x)=0
We get rid of parentheses
-64x^2+8x-4x=0
We add all the numbers together, and all the variables
-64x^2+4x=0
a = -64; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·(-64)·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4}{2*-64}=\frac{-8}{-128} =1/16 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4}{2*-64}=\frac{0}{-128} =0 $

See similar equations:

| -y=49 | | 5y-6=3y+10 | | 5x/12=50 | | 81/x+1=4 | | 2(8-2x)+2(4-2x)=8 | | 4(2x-)=2x+35 | | 10.5n=126 | | 10x–21=3x | | 20=20x/12-x | | 3p-2(p-2)=11 | | 7(x+4)+8(x+4)=7x-7 | | -3(x+4)=20 | | -3(-2+x)=-3 | | 16+4y=2y-4 | | 1/8(4(x-1)+36)=x | | –7y+7=–8y | | 19w-1=-79 | | 3(x-4)=2x+9+x | | -7+4c=7c-6 | | 2x-1+2x=67 | | 5(z+5)=31+2z | | 1/3+n=3/4 | | -8w-1=-17 | | 8+12=5x | | -4(x+4)+3=11 | | x+23=5U=N | | 4x-9=4x-15 | | 12(n-7)=20 | | 6(t-3)=2(9-2t)T= | | (–8–3k)/2=11 | | 6b+3b-21=2+5b+5 | | 6(x–1)=–18 |

Equations solver categories