7x*3x=11

Solution for 7x*3x=11 equation:

7x*3x=11

We move all terms to the left:

7x*3x-(11)=0

Wy multiply elements

21x^2-11=0

a = 21; b = 0; c = -11;
Δ = b2-4ac
Δ = 02-4·21·(-11)
Δ = 924
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{924}=\sqrt{4*231}=\sqrt{4}*\sqrt{231}=2\sqrt{231}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{231}}{2*21}=\frac{0-2\sqrt{231}}{42}
=-\frac{2\sqrt{231}}{42}
=-\frac{\sqrt{231}}{21}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{231}}{2*21}=\frac{0+2\sqrt{231}}{42}
=\frac{2\sqrt{231}}{42}
=\frac{\sqrt{231}}{21}
$