4x^2+8x=62

Solution for 4x^2+8x=62 equation:

4x^2+8x=62

We move all terms to the left:

4x^2+8x-(62)=0

a = 4; b = 8; c = -62;
Δ = b2-4ac
Δ = 82-4·4·(-62)
Δ = 1056
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:

$\sqrt{\Delta}=\sqrt{1056}=\sqrt{16*66}=\sqrt{16}*\sqrt{66}=4\sqrt{66}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-4\sqrt{66}}{2*4}=\frac{-8-4\sqrt{66}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+4\sqrt{66}}{2*4}=\frac{-8+4\sqrt{66}}{8}
$