5(11x2)=155

Solution for 5(11x2)=155 equation:

5(11x^2)=155

We move all terms to the left:

5(11x^2)-(155)=0

a = 511; b = 0; c = -155;
Δ = b2-4ac
Δ = 02-4·511·(-155)
Δ = 316820
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:

$\sqrt{\Delta}=\sqrt{316820}=\sqrt{4*79205}=\sqrt{4}*\sqrt{79205}=2\sqrt{79205}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{79205}}{2*511}=\frac{0-2\sqrt{79205}}{1022}
=-\frac{2\sqrt{79205}}{1022}
=-\frac{\sqrt{79205}}{511}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{79205}}{2*511}=\frac{0+2\sqrt{79205}}{1022}
=\frac{2\sqrt{79205}}{1022}
=\frac{\sqrt{79205}}{511}
$