20х²+100374х+7173х+71372х+7227=0

To solve this equation, we can combine like terms:

20x² + 100374x + 7173x + 71372x + 7227 = 0

20x² + (100374 + 7173 + 71372)x + 7227 = 0

20x² + 180919x + 7227 = 0

Now, we can use the quadratic formula to find the solutions for x:

x = (-b ± √(b² - 4ac)) / 2a

In this case, a = 20, b = 180919, and c = 7227. Plugging these values into the formula:

x = (-180919 ± √(180919² - 4207227)) / 2*20

x = (-180919 ± √(32792407281 - 579720)) / 40

x = (-180919 ± √(32791827561)) / 40

x = (-180919 ± 5727) / 40

Therefore, the solutions for x are:

x₁ = (-180919 + 5727) / 40 = -175192 / 40 = -4380.8

x₂ = (-180919 - 5727) / 40 = -186646 / 40 = -4666.15

So, the solutions for the equation 20x² + 100374x + 7173x + 71372x + 7227 = 0 are x = -4380.8 and x = -4666.15.