77x=11x^2

Solution for 77x=11x^2 equation:

77x=11x^2

We move all terms to the left:

77x-(11x^2)=0

determiningTheFunctionDomain
-11x^2+77x=0

a = -11; b = 77; c = 0;
Δ = b2-4ac
Δ = 772-4·(-11)·0
Δ = 5929
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5929}=77$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(77)-77}{2*-11}=\frac{-154}{-22}
=+7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(77)+77}{2*-11}=\frac{0}{-22}
=0
$