7x(x=6)

Solution for 7x(x=6) equation:

7x(x=6)

We move all terms to the left:

7x(x-(6))=0

We multiply parentheses

7x^2-42x=0

a = 7; b = -42; c = 0;
Δ = b2-4ac
Δ = -422-4·7·0
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*7}=\frac{0}{14}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-42)+42}{2*7}=\frac{84}{14}
=6
$