(49/5)x=180

Solution for (49/5)x=180 equation:

(49/5)x=180

We move all terms to the left:

(49/5)x-(180)=0


Domain of the equation: 5)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+49/5)x-180=0

We multiply parentheses

49x^2-180=0

a = 49; b = 0; c = -180;
Δ = b2-4ac
Δ = 02-4·49·(-180)
Δ = 35280
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:

$\sqrt{\Delta}=\sqrt{35280}=\sqrt{7056*5}=\sqrt{7056}*\sqrt{5}=84\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-84\sqrt{5}}{2*49}=\frac{0-84\sqrt{5}}{98}
=-\frac{84\sqrt{5}}{98}
=-\frac{6\sqrt{5}}{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+84\sqrt{5}}{2*49}=\frac{0+84\sqrt{5}}{98}
=\frac{84\sqrt{5}}{98}
=\frac{6\sqrt{5}}{7}
$