62.5=(2x+2.5)x

Solution for 62.5=(2x+2.5)x equation:

62.5=(2x+2.5)x

We move all terms to the left:

62.5-((2x+2.5)x)=0


We calculate terms in parentheses: -((2x+2.5)x), so:

(2x+2.5)x

We multiply parentheses

2x^2+2.5x

Back to the equation:

-(2x^2+2.5x)


We get rid of parentheses

-2x^2-2.5x+62.5=0

a = -2; b = -2.5; c = +62.5;
Δ = b2-4ac
Δ = -2.52-4·(-2)·62.5
Δ = 506.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2.5)-\sqrt{506.25}}{2*-2}=\frac{2.5-\sqrt{506.25}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.5)+\sqrt{506.25}}{2*-2}=\frac{2.5+\sqrt{506.25}}{-4}
$