3x2-18x=21

Solution for 3x2-18x=21 equation:

3x^2-18x=21

We move all terms to the left:

3x^2-18x-(21)=0

a = 3; b = -18; c = -21;
Δ = b2-4ac
Δ = -182-4·3·(-21)
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-24}{2*3}=\frac{-6}{6}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+24}{2*3}=\frac{42}{6}
=7
$