2=5xx3(x+1)

Solution for 2=5xx3(x+1) equation:

2=5xx3(x+1)

We move all terms to the left:

2-(5xx3(x+1))=0


We calculate terms in parentheses: -(5xx3(x+1)), so:

5xx3(x+1)

We multiply parentheses

5x^2+5x

Back to the equation:

-(5x^2+5x)


We get rid of parentheses

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

a = -5; b = -5; c = +2;
Δ = b2-4ac
Δ = -52-4·(-5)·2
Δ = 65
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{-(-5)-\sqrt{65}}{2*-5}=\frac{5-\sqrt{65}}{-10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{65}}{2*-5}=\frac{5+\sqrt{65}}{-10}
$