25+2x=5x(x+2)

Solution for 25+2x=5x(x+2) equation:

25+2x=5x(x+2)

We move all terms to the left:

25+2x-(5x(x+2))=0


We calculate terms in parentheses: -(5x(x+2)), so:

5x(x+2)

We multiply parentheses

5x^2+10x

Back to the equation:

-(5x^2+10x)


We get rid of parentheses

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

We add all the numbers together, and all the variables

-5x^2-8x+25=0

a = -5; b = -8; c = +25;
Δ = b2-4ac
Δ = -82-4·(-5)·25
Δ = 564
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:

$\sqrt{\Delta}=\sqrt{564}=\sqrt{4*141}=\sqrt{4}*\sqrt{141}=2\sqrt{141}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-2\sqrt{141}}{2*-5}=\frac{8-2\sqrt{141}}{-10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+2\sqrt{141}}{2*-5}=\frac{8+2\sqrt{141}}{-10}
$