-2x^2-10x=5x^2

Solution for -2x^2-10x=5x^2 equation:

-2x^2-10x=5x^2

We move all terms to the left:

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

determiningTheFunctionDomain
-2x^2-5x^2-10x=0

We add all the numbers together, and all the variables

-7x^2-10x=0

a = -7; b = -10; c = 0;
Δ = b2-4ac
Δ = -102-4·(-7)·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-10}{2*-7}=\frac{0}{-14}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+10}{2*-7}=\frac{20}{-14}
=-1+3/7
$