7b^2=49b

Solution for 7b^2=49b equation:

7b^2=49b

We move all terms to the left:

7b^2-(49b)=0

a = 7; b = -49; c = 0;
Δ = b2-4ac
Δ = -492-4·7·0
Δ = 2401
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2401}=49$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-49)-49}{2*7}=\frac{0}{14}
=0
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-49)+49}{2*7}=\frac{98}{14}
=7
$