3.77x^2=4x+4

Solution for 3.77x^2=4x+4 equation:

3.77x^2=4x+4

We move all terms to the left:

3.77x^2-(4x+4)=0

We get rid of parentheses

3.77x^2-4x-4=0

a = 3.77; b = -4; c = -4;
Δ = b2-4ac
Δ = -42-4·3.77·(-4)
Δ = 76.32
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{-(-4)-\sqrt{76.32}}{2*3.77}=\frac{4-\sqrt{76.32}}{7.54}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+\sqrt{76.32}}{2*3.77}=\frac{4+\sqrt{76.32}}{7.54}
$