12+7(x-15x)13xx=10

Solution for 12+7(x-15x)13xx=10 equation:

12+7(x-15x)13xx=10

We move all terms to the left:

12+7(x-15x)13xx-(10)=0

We add all the numbers together, and all the variables

7(-14x)13xx+12-10=0

We add all the numbers together, and all the variables

7(-14x)13xx+2=0

We multiply parentheses

-1274x^2+2=0

a = -1274; b = 0; c = +2;
Δ = b2-4ac
Δ = 02-4·(-1274)·2
Δ = 10192
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:

$\sqrt{\Delta}=\sqrt{10192}=\sqrt{784*13}=\sqrt{784}*\sqrt{13}=28\sqrt{13}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28\sqrt{13}}{2*-1274}=\frac{0-28\sqrt{13}}{-2548}
=-\frac{28\sqrt{13}}{-2548}
=-\frac{\sqrt{13}}{-91}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28\sqrt{13}}{2*-1274}=\frac{0+28\sqrt{13}}{-2548}
=\frac{28\sqrt{13}}{-2548}
=\frac{\sqrt{13}}{-91}
$