4x^2-30x-25=-x^2-10x

Solution for 4x^2-30x-25=-x^2-10x equation:

4x^2-30x-25=-x^2-10x

We move all terms to the left:

4x^2-30x-25-(-x^2-10x)=0

We get rid of parentheses

4x^2+x^2+10x-30x-25=0

We add all the numbers together, and all the variables

5x^2-20x-25=0

a = 5; b = -20; c = -25;
Δ = b2-4ac
Δ = -202-4·5·(-25)
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-30}{2*5}=\frac{-10}{10}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+30}{2*5}=\frac{50}{10}
=5
$