7x(9x-26)=60

Solution for 7x(9x-26)=60 equation:

7x(9x-26)=60

We move all terms to the left:

7x(9x-26)-(60)=0

We multiply parentheses

63x^2-182x-60=0

a = 63; b = -182; c = -60;
Δ = b2-4ac
Δ = -1822-4·63·(-60)
Δ = 48244
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:

$\sqrt{\Delta}=\sqrt{48244}=\sqrt{4*12061}=\sqrt{4}*\sqrt{12061}=2\sqrt{12061}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-182)-2\sqrt{12061}}{2*63}=\frac{182-2\sqrt{12061}}{126}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-182)+2\sqrt{12061}}{2*63}=\frac{182+2\sqrt{12061}}{126}
$