5/12q+1/2q=25-3

Simple and best practice solution for 5/12q+1/2q=25-3 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 5/12q+1/2q=25-3 equation:



5/12q+1/2q=25-3
We move all terms to the left:
5/12q+1/2q-(25-3)=0
Domain of the equation: 12q!=0
q!=0/12
q!=0
q∈R
Domain of the equation: 2q!=0
q!=0/2
q!=0
q∈R
We add all the numbers together, and all the variables
5/12q+1/2q-22=0
We calculate fractions
10q/24q^2+12q/24q^2-22=0
We multiply all the terms by the denominator
10q+12q-22*24q^2=0
We add all the numbers together, and all the variables
22q-22*24q^2=0
Wy multiply elements
-528q^2+22q=0
a = -528; b = 22; c = 0;
Δ = b2-4ac
Δ = 222-4·(-528)·0
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(22)-22}{2*-528}=\frac{-44}{-1056} =1/24 $
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(22)+22}{2*-528}=\frac{0}{-1056} =0 $

See similar equations:

| 45w-9=126 | | 393x-0.9x^2=0 | | 0=-16^2+20*((2)^1/2)t+6 | | 20=30t+5t^2 | | 8-9w=45 | | 393x=0.9x^2 | | 2u-2+-3u-1-54=0 | | F(x)=2x2+5x-9 | | 0=-16t^2+22.94t+6 | | -2(5x-1)=-10x+6 | | 2(m+1)=4(m-15) | | -5(3x-3)+4=-15x+19 | | -3(4t-2)+5t=6t-6 | | 3x^2-x-126=0 | | -6(6x-9)+1=-36x+55 | | 50w+8=142 | | 4y+4=5y | | 5x^2-10x+86=0 | | 5v=v+20 | | 2y+1/8=3y+3/8 | | 4x+5=7x+6 | | 5x^2-10x-86=0 | | 4(3x+5)=-47+55 | | 0.10(y-5)+0.45y=0.05y-0.30 | | 210=-15n | | y+y-6y=0 | | 542+(x)÷7=90 | | 3x*5=36 | | 7-5y=4y^2 | | 3x-12=1/2 | | 6w+90=48 | | 1+2x/5+4-x/2=21/10 |

Equations solver categories