5x^2+10x=36

Solution for 5x^2+10x=36 equation:

5x^2+10x=36

We move all terms to the left:

5x^2+10x-(36)=0

a = 5; b = 10; c = -36;
Δ = b2-4ac
Δ = 102-4·5·(-36)
Δ = 820
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:

$\sqrt{\Delta}=\sqrt{820}=\sqrt{4*205}=\sqrt{4}*\sqrt{205}=2\sqrt{205}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-2\sqrt{205}}{2*5}=\frac{-10-2\sqrt{205}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+2\sqrt{205}}{2*5}=\frac{-10+2\sqrt{205}}{10}
$