5(2x+6)x=5

Solution for 5(2x+6)x=5 equation:

5(2x+6)x=5

We move all terms to the left:

5(2x+6)x-(5)=0

We multiply parentheses

10x^2+30x-5=0

a = 10; b = 30; c = -5;
Δ = b2-4ac
Δ = 302-4·10·(-5)
Δ = 1100
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:

$\sqrt{\Delta}=\sqrt{1100}=\sqrt{100*11}=\sqrt{100}*\sqrt{11}=10\sqrt{11}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-10\sqrt{11}}{2*10}=\frac{-30-10\sqrt{11}}{20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+10\sqrt{11}}{2*10}=\frac{-30+10\sqrt{11}}{20}
$