7x^2-35^2-72x=0

Solution for 7x^2-35^2-72x=0 equation:

7x^2-35^2-72x=0

We add all the numbers together, and all the variables

7x^2-72x-1225=0

a = 7; b = -72; c = -1225;
Δ = b2-4ac
Δ = -722-4·7·(-1225)
Δ = 39484
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:

$\sqrt{\Delta}=\sqrt{39484}=\sqrt{4*9871}=\sqrt{4}*\sqrt{9871}=2\sqrt{9871}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-72)-2\sqrt{9871}}{2*7}=\frac{72-2\sqrt{9871}}{14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-72)+2\sqrt{9871}}{2*7}=\frac{72+2\sqrt{9871}}{14}
$