Question

(8х+10)•(3-х)=(11-2х)•(4х+5) розв'язати рiвняння

Answer 1

...........................x=-1,25

Answer 2

I can help you solve this equation. Here is the detailed solution:

(8х + 10) (3 - х) = (11 - 2х) (4х + 5) - 5

First, we need to expand the brackets on both sides of the equation by using the distributive property. We get:

24х - 8х^2 + 30 - 10х = 44х + 55 - 8х^2 - 10х - 5

Next, we need to simplify the equation by collecting like terms on both sides. We get:

-8х^2 + 24х + 30 = -8х^2 + 44х + 50

Then, we can subtract -8х^2 from both sides to eliminate the quadratic term. We get:

24х + 30 = 44х + 50

Now, we have a linear equation that we can solve by isolating x. We can subtract 24х from both sides to get:

30 = 20х + 50

Then, we can subtract 50 from both sides to get:

-20 = 20х

Finally, we can divide both sides by 20 to get:

-1 = x

This is the solution of the equation. We can check it by plugging it back into the original equation and verifying that both sides are equal.

(8 * (-1) + 10) (3 - (-1)) = (11 - 2 * (-1)) (4 * (-1) + 5) - 5

(-8 + 10) * 4 = (11 + 2) * (-4 + 5) - 5

2 * 4 = 13 * 1 - 5

8 = 8

This confirms that x = -1 is the correct solution.

I hope this helps you understand how to solve this equation. If you want to learn more about solving equations, you can check out some of the web search results I found for you . Have a nice day!