x-30/x=7

Simple and best practice solution for x-30/x=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 x-30/x=7 equation:



x-30/x=7
We move all terms to the left:
x-30/x-(7)=0
Domain of the equation: x!=0
x∈R
We multiply all the terms by the denominator
x*x-7*x-30=0
We add all the numbers together, and all the variables
-7x+x*x-30=0
Wy multiply elements
x^2-7x-30=0
a = 1; b = -7; c = -30;
Δ = b2-4ac
Δ = -72-4·1·(-30)
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-13}{2*1}=\frac{-6}{2} =-3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+13}{2*1}=\frac{20}{2} =10 $

See similar equations:

| 2+d=1/4 | | 2-4i=30 | | 11x/12=3x/4+2 | | -2-3h=-29 | | -47=-5d+3 | | 4-(3a/4)=7 | | 5x-17=10-2x | | 4b-3=-35 | | 4(3a/4)=7 | | 4x2+4x=500 | | 5x-14=7-2x | | 4x+4x=500 | | 5e+5=-25 | | -8.8+a=14.3 | | 17a-7(a+1)=4(a-2) | | -5/8=x25/18 | | 1/3(9-27x)=24-12x | | 3a-5=-8 | | 32x=1/4(3/4) | | -5+x÷2=1 | | 4x+14x´+x=0 | | 2(h-8))-h=h-16 | | 8a+6=4a-14 | | y+y+10=50 | | 6(3-z)=2z+4-z | | 2x-28=6x+16 | | 5|x+1|+6=21 | | 3e=​4​​3​​ | | 1÷3y+1÷4=5÷12 | | 6d-4(3d+5)=0 | | 23-3t=20 | | 4(-x=4)=12 |

Equations solver categories