672=x(3x-6)

Solution for 672=x(3x-6) equation:

672=x(3x-6)

We move all terms to the left:

672-(x(3x-6))=0


We calculate terms in parentheses: -(x(3x-6)), so:

x(3x-6)

We multiply parentheses

3x^2-6x

Back to the equation:

-(3x^2-6x)


We get rid of parentheses

-3x^2+6x+672=0

a = -3; b = 6; c = +672;
Δ = b2-4ac
Δ = 62-4·(-3)·672
Δ = 8100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8100}=90$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-90}{2*-3}=\frac{-96}{-6}
=+16
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+90}{2*-3}=\frac{84}{-6}
=-14
$