12/x+63=74-2x

Simple and best practice solution for 12/x+63=74-2x 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 12/x+63=74-2x equation:



12/x+63=74-2x
We move all terms to the left:
12/x+63-(74-2x)=0
Domain of the equation: x!=0
x∈R
We add all the numbers together, and all the variables
12/x-(-2x+74)+63=0
We get rid of parentheses
12/x+2x-74+63=0
We multiply all the terms by the denominator
2x*x-74*x+63*x+12=0
We add all the numbers together, and all the variables
-11x+2x*x+12=0
Wy multiply elements
2x^2-11x+12=0
a = 2; b = -11; c = +12;
Δ = b2-4ac
Δ = -112-4·2·12
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-5}{2*2}=\frac{6}{4} =1+1/2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+5}{2*2}=\frac{16}{4} =4 $

See similar equations:

| 5x²-11=29 | | k+3/3=-2 | | 38+18w=8 | | 12*x+63=74-2x | | x=4(-5)-4x | | 27x+82.7/21.129=38.99 | | 5(-5+6r)=1/4(-13r+9) | | x+2=(7/8)x-15 | | 2x+5÷3=9 | | 12.50e=0.40+3.25 | | 2x-30+2x-10=180 | | x(x+2)=0* | | p=9600-p(0.044)(6/12) | | 3x^2-36x=0* | | 3x^2+6x=5x+10* | | 2^x=5000000000 | | -35+2x=-12-6x | | m-5=-4/m | | -5=34x-2 | | F(1/2)=5h-1/3 | | F(-2)=5h-1/3 | | 5w+6=34 | | 4=27x | | -7x+9x=4x-6 | | c−15=20 | | 5n-3=-18+5n | | 4(2x+1)=5x-9 | | F(-3)=5h-1/3 | | x^2+21x+56=(x+3)^2+77 | | 2g=3.50+5=3.25 | | 160=5x^2+50x+24 | | -42-6r=36-(1-7r)    |

Equations solver categories