5x+10=5(x+10)5x+10=5x+10

Solution for 5x+10=5(x+10)5x+10=5x+10 equation:

5x+10=5(x+10)5x+10=5x+10

We move all terms to the left:

5x+10-(5(x+10)5x+10)=0


We calculate terms in parentheses: -(5(x+10)5x+10), so:

5(x+10)5x+10

We multiply parentheses

25x^2+250x+10

Back to the equation:

-(25x^2+250x+10)


We get rid of parentheses

-25x^2+5x-250x-10+10=0

We add all the numbers together, and all the variables

-25x^2-245x=0

a = -25; b = -245; c = 0;
Δ = b2-4ac
Δ = -2452-4·(-25)·0
Δ = 60025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{60025}=245$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-245)-245}{2*-25}=\frac{0}{-50}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-245)+245}{2*-25}=\frac{490}{-50}
=-9+4/5
$