30.25=3x(x-2)

Solution for 30.25=3x(x-2) equation:

30.25=3x(x-2)

We move all terms to the left:

30.25-(3x(x-2))=0


We calculate terms in parentheses: -(3x(x-2)), so:

3x(x-2)

We multiply parentheses

3x^2-6x

Back to the equation:

-(3x^2-6x)


We get rid of parentheses

-3x^2+6x+30.25=0

a = -3; b = 6; c = +30.25;
Δ = b2-4ac
Δ = 62-4·(-3)·30.25
Δ = 399
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{-(6)-\sqrt{399}}{2*-3}=\frac{-6-\sqrt{399}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+\sqrt{399}}{2*-3}=\frac{-6+\sqrt{399}}{-6}
$