3x2-7x=66

Solution for 3x2-7x=66 equation:

3x^2-7x=66

We move all terms to the left:

3x^2-7x-(66)=0

a = 3; b = -7; c = -66;
Δ = b2-4ac
Δ = -72-4·3·(-66)
Δ = 841
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{841}=29$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-29}{2*3}=\frac{-22}{6}
=-3+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+29}{2*3}=\frac{36}{6}
=6
$