80 200+x1000- 10x+ 40800-200- 1000- 10x = 50 800+9000 解方程

To solve the equation, we will start by simplifying both sides:

80 * 200 + x(1000 - 10x) + 40[800 - 200 - (1000 - 10x)] = 50 * 800 + 9000

Simplifying the left side:

16000 + x(1000 - 10x) + 40[800 - 200 - 1000 + 10x] = 40000 + 9000

16000 + x(1000 - 10x) + 40(-200 - 1000 + 10x) = 49000

16000 + x(1000 - 10x) + 40(-1200 + 10x) = 49000

16000 + x(1000 - 10x) - 48000 + 400x = 49000

Combining like terms:

-32000 + 400x + x(1000 - 10x) = 49000

Rearranging the terms:

x(1000 - 10x) + 400x - 32000 = 49000

Expanding x(1000 - 10x):

1000x - 10x^2 + 400x - 32000 = 49000

Combining like terms:

1000x + 400x - 10x^2 - 32000 = 49000

Rearranging the terms:

-10x^2 + 1400x - 32000 = 49000

Bringing all the terms to one side:

-10x^2 + 1400x - 81000 = 0

Now we have a quadratic equation. To solve it, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = -10, b = 1400, and c = -81000. Plugging these values into the quadratic formula:

x = (-1400 ± √(1400^2 - 4(-10)(-81000))) / (2(-10))

Simplifying:

x = (-1400 ± √(1960000 - 3240000)) / (-20)

x = (-1400 ± √(-1280000)) / (-20)

Since the square root of a negative number is not a real number, there are no real solutions to this equation.