-7x=11x2-3

Solution for -7x=11x2-3 equation:

-7x=11x^2-3

We move all terms to the left:

-7x-(11x^2-3)=0

We get rid of parentheses

-11x^2-7x+3=0

a = -11; b = -7; c = +3;
Δ = b2-4ac
Δ = -72-4·(-11)·3
Δ = 181
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-\sqrt{181}}{2*-11}=\frac{7-\sqrt{181}}{-22}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{181}}{2*-11}=\frac{7+\sqrt{181}}{-22}
$