3/4x-4=3x+14

Simple and best practice solution for 3/4x-4=3x+14 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 3/4x-4=3x+14 equation:



3/4x-4=3x+14
We move all terms to the left:
3/4x-4-(3x+14)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
We get rid of parentheses
3/4x-3x-14-4=0
We multiply all the terms by the denominator
-3x*4x-14*4x-4*4x+3=0
Wy multiply elements
-12x^2-56x-16x+3=0
We add all the numbers together, and all the variables
-12x^2-72x+3=0
a = -12; b = -72; c = +3;
Δ = b2-4ac
Δ = -722-4·(-12)·3
Δ = 5328
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:
$\sqrt{\Delta}=\sqrt{5328}=\sqrt{144*37}=\sqrt{144}*\sqrt{37}=12\sqrt{37}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-72)-12\sqrt{37}}{2*-12}=\frac{72-12\sqrt{37}}{-24} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-72)+12\sqrt{37}}{2*-12}=\frac{72+12\sqrt{37}}{-24} $

See similar equations:

| x+0.05x-1000=0 | | 7x+63+6x+52=180 | | 2x+1+3x+8=29 | | 2x+6-20x=-36-4x | | -6(6-x)+8=5/8(x+2) | | x+x(0.05)=1000 | | 8x+4-2x-10=0 | | 2x-14=2x-10=12 | | x+x(0.05)=100 | | 8u-24=-40 | | Y=7x+230 | | 39-6x=-6x+42 | | 3x+13/17=2 | | 8(4-3x)=104 | | 5(2y+9)=18-3(y-6) | | n-29=-5 | | x+x(105)=1000 | | 3x-8=3x-12+3 | | x*8/21=360 | | (y+6)^2+3=78 | | 2-h=6-h | | 9=-5b=23 | | 3-1.7x=x/4 | | n/3-7=93 | | 1.05x*100=1000*100 | | 7z-2(z-11)=-23 | | –7(a–3)=–63 | | -12u9+7u=26 | | 45+z+19+2z-20=180 | | 9x+11=102 | | -12u-9+7u=27 | | -12u-9+7u=28 |

Equations solver categories