Let's simplify this equation:

7x^2 + 14x + 8 = 2x + 8*49x

7x^2 + 14x + 8 = 2x + 392x

7x^2 + 14x + 8 = 394x

Rearranging the terms:

7x^2 + 14x - 394x + 8 = 0

Combine like terms:

7x^2 - 380x + 8 = 0

This equation is not easily factorable, so we can use the quadratic formula to find the roots.

The formula is: x = (-b ± √(b^2 - 4ac)) / 2a

where a = 7, b = -380, and c = 8

Plugging in the values:

x = (380 ± √((-380)^2 - 478)) / 2*7
x = (380 ± √(144400 - 224)) / 14
x = (380 ± √144176) / 14
x = (380 ± 380.15) / 14

The roots are:
x = (380 + 380.15) / 14 ≈ 54.31
x = (380 - 380.15) / 14 ≈ -0.01

Therefore, the solutions to the equation are approximately x = 54.31 and x = -0.01.