If it's not what You are looking for type in the equation solver your own equation and let us solve it.
5x+1/5x-3=30
We move all terms to the left:
5x+1/5x-3-(30)=0
Domain of the equation: 5x!=0We add all the numbers together, and all the variables
x!=0/5
x!=0
x∈R
5x+1/5x-33=0
We multiply all the terms by the denominator
5x*5x-33*5x+1=0
Wy multiply elements
25x^2-165x+1=0
a = 25; b = -165; c = +1;
Δ = b2-4ac
Δ = -1652-4·25·1
Δ = 27125
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{27125}=\sqrt{25*1085}=\sqrt{25}*\sqrt{1085}=5\sqrt{1085}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-165)-5\sqrt{1085}}{2*25}=\frac{165-5\sqrt{1085}}{50} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-165)+5\sqrt{1085}}{2*25}=\frac{165+5\sqrt{1085}}{50} $
| 9y=26 | | 3x1-2x2=-1 | | 1.73x=x+7 | | 5x+9=2x=30 | | 9x+3=7(x+1) | | -24-12.3x=13.5+3.6x | | 10x12.9=-23.6+9x | | 1=300(0.8)^t | | (2x+20)=(3x+1) | | (x+40)+(2x+20)+3x+6x=360 | | c(x)=20.00-0.25 | | 180=(2t-4)+(5t+2) | | 90=(5w+5)+(2w+8) | | (6s-7)=(5s+5) | | 41+(p-3)=90 | | (3n+3)+(2n+7)=90 | | (8w+6)+(7w-6)=90 | | -6*x+4=5x-18 | | -5*x+8=-2 | | 2a2+26a=0 | | 5x/2+9x/4+4x/10=208 | | (12-2x)-4=5x+2(x-7) | | 7y+11=69 | | 0.29=0.39x+3.88 | | y/2y-8=14 | | 5i+1=16 | | -2v+15=1 | | a/3+9=23 | | -6p-4=56 | | a/4+6=17 | | -6p-2=58 | | 20y-11=69 |