(14/15)x=308

Solution for (14/15)x=308 equation:

(14/15)x=308

We move all terms to the left:

(14/15)x-(308)=0


Domain of the equation: 15)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+14/15)x-308=0

We multiply parentheses

14x^2-308=0

a = 14; b = 0; c = -308;
Δ = b2-4ac
Δ = 02-4·14·(-308)
Δ = 17248
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:

$\sqrt{\Delta}=\sqrt{17248}=\sqrt{784*22}=\sqrt{784}*\sqrt{22}=28\sqrt{22}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28\sqrt{22}}{2*14}=\frac{0-28\sqrt{22}}{28}
=-\frac{28\sqrt{22}}{28}
=-\sqrt{22}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28\sqrt{22}}{2*14}=\frac{0+28\sqrt{22}}{28}
=\frac{28\sqrt{22}}{28}
=\sqrt{22}
$