/49x=x+6

Solution for \/49x=x+6 equation:

/49x=x+6

We move all terms to the left:

/49x-(x+6)=0


Domain of the equation: 49x!=0

x!=0/49

x!=0

x∈R


We get rid of parentheses

/49x-x-6=0

We multiply all the terms by the denominator


-x*49x-6*49x+=0

We add all the numbers together, and all the variables

-x*49x-6*49x=0

Wy multiply elements

-49x^2-294x=0

a = -49; b = -294; c = 0;
Δ = b2-4ac
Δ = -2942-4·(-49)·0
Δ = 86436
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{86436}=294$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-294)-294}{2*-49}=\frac{0}{-98}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-294)+294}{2*-49}=\frac{588}{-98}
=-6
$