1/4x-3/8x=10

Simple and best practice solution for 1/4x-3/8x=10 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-3/8x=10 equation:



1/4x-3/8x=10
We move all terms to the left:
1/4x-3/8x-(10)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
Domain of the equation: 8x!=0
x!=0/8
x!=0
x∈R
We calculate fractions
8x/32x^2+(-12x)/32x^2-10=0
We multiply all the terms by the denominator
8x+(-12x)-10*32x^2=0
Wy multiply elements
-320x^2+8x+(-12x)=0
We get rid of parentheses
-320x^2+8x-12x=0
We add all the numbers together, and all the variables
-320x^2-4x=0
a = -320; b = -4; c = 0;
Δ = b2-4ac
Δ = -42-4·(-320)·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*-320}=\frac{0}{-640} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+4}{2*-320}=\frac{8}{-640} =-1/80 $

See similar equations:

| -2r+6r=24 | | X^3=6x-9 | | y2=39 | | 3x+6+4x-9=43 | | Có4x=1/3 | | 22=11w | | 3(4x+2)-7=-2 | | 2(x+6)-5(2x-3)=13 | | 6.1x-4.5(3-2x)=9.15 | | Q=15-3p | | D=5/4(m-91) | | 12x-123=7x+62 | | 10y-2(3-2y)=4y+10-2y | | 6+3.x=2x | | 2x-158=12x+182 | | (X-5)^2(2x-4)=0 | | (2x+15)+111=180 | | -(8-2n)=8-2(12-3n) | | 21x+182=38x+98 | | (7/2)+2=(4/x^2) | | (√(7x^2+5x-3))=x | | 1/3x-15=12 | | 9x-7=2x-8 | | 1m-6m=-10 | | 5x-4=8+2+3× | | 8x-47°=180° | | 6x-12+2x=3+2x-15 | | m2-7m-8=0 | | 2t=3(t-1) | | 42=x+6+x-9+x | | -7(x-3)-30=9 | | x=24/(x-7) |

Equations solver categories