If it's not what You are looking for type in the equation solver your own equation and let us solve it.

10x-45/x=5

We move all terms to the left:

10x-45/x-(5)=0

Domain of the equation: x!=0We multiply all the terms by the denominator

x∈R

10x*x-5*x-45=0

We add all the numbers together, and all the variables

-5x+10x*x-45=0

Wy multiply elements

10x^2-5x-45=0

a = 10; b = -5; c = -45;

Δ = b^{2}-4ac

Δ = -5^{2}-4·10·(-45)

Δ = 1825

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{1825}=\sqrt{25*73}=\sqrt{25}*\sqrt{73}=5\sqrt{73}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-5\sqrt{73}}{2*10}=\frac{5-5\sqrt{73}}{20} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+5\sqrt{73}}{2*10}=\frac{5+5\sqrt{73}}{20} $

| (7/3)t=84 | | 6x^2-42x+40=0 | | Y-(-2)=-2/5(x-1) | | 4(0.8f-0.5)=0.4 | | 2^3x*5^3x=100 | | 5.4/x=3 | | -0.25x=4 | | 162+54+(x)=180 | | 126+(x)=180 | | 74+49+(3x)=180 | | 14y+12=600 | | 75+50+(3x+4)=180 | | 76+(4x+3)+(4x-11)=180 | | 42+(4x+16)=180 | | 104+28+(4x-8)=180 | | 6x+9-21=0 | | 9=-12+3/5x | | 7y21=0 | | 2=4+m | | 7=3w+7w | | 2x1=16 | | 3x-14+62=180 | | (2x+5+(2x+17)=180 | | 20x+20-60=0 | | 17^2-34x-8=0 | | 8d/2=40 | | 2/5x+-1/3x=5 | | 2x+(3x-1)=8x-2x | | 2(3x+2)+(3x+1)=28 | | -10d(d+1)=-14 | | 2y=4.25 | | x+61x+51+80=180 |

- Equations solver - equations involving one unknown
- Quadratic equations solver
- Percentage Calculator - Step by step
- Derivative calculator - step by step
- Graphs of functions
- Factorization
- Greatest Common Factor
- Least Common Multiple
- System of equations - step by step solver
- Fractions calculator - step by step
- Theory in mathematics
- Roman numerals conversion
- Tip calculator
- Numbers as decimals, fractions, percentages
- More or less than - questions