-1/5x+70=-2x+7

Solution for -1/5x+70=-2x+7 equation:

-1/5x+70=-2x+7

We move all terms to the left:

-1/5x+70-(-2x+7)=0


Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R


We get rid of parentheses

-1/5x+2x-7+70=0

We multiply all the terms by the denominator


2x*5x-7*5x+70*5x-1=0

Wy multiply elements

10x^2-35x+350x-1=0

We add all the numbers together, and all the variables

10x^2+315x-1=0

a = 10; b = 315; c = -1;
Δ = b2-4ac
Δ = 3152-4·10·(-1)
Δ = 99265
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(315)-\sqrt{99265}}{2*10}=\frac{-315-\sqrt{99265}}{20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(315)+\sqrt{99265}}{2*10}=\frac{-315+\sqrt{99265}}{20}
$