14x^2-42x+9=9

Solution for 14x^2-42x+9=9 equation:

14x^2-42x+9=9

We move all terms to the left:

14x^2-42x+9-(9)=0

We add all the numbers together, and all the variables

14x^2-42x=0

a = 14; b = -42; c = 0;
Δ = b2-4ac
Δ = -422-4·14·0
Δ = 1764
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1764}=42$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-42)-42}{2*14}=\frac{0}{28}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-42)+42}{2*14}=\frac{84}{28}
=3
$