Question

(6х-19)(6х+19)-36х^2-10х-44 х=150​

Answer 1

Фото-ответ на задачу

Answer 2

It appears that you want to solve the equation (6x - 19)(6x + 19) - 36x^2 - 10x - 44x = 150. Let's simplify and solve for x step by step:

First, expand the expressions on the left-hand side: (6x - 19)(6x + 19) - 36x^2 - 10x - 44x = 150

Expanding the left side: (6x - 19)(6x + 19) = 36x^2 - 19^2

So, the equation becomes: 36x^2 - 19^2 - 36x^2 - 10x - 44x = 150

Now, simplify the equation: -19^2 - 54x = 150

Now, isolate the term with x on one side of the equation: -19^2 - 54x = 150

Subtract 150 from both sides: -19^2 - 54x - 150 = 0

Now, simplify further: -19^2 - 54x - 150 = 0

Calculate -19^2: -361 - 54x - 150 = 0

Combine like terms: -361 - 204x - 150 = 0

Now, add 361 and 150 to both sides to isolate the term with x: -204x = 511

Finally, divide both sides by -204 to solve for x: x = 511 / -204

Now, simplify the fraction: x = -511/204

You can further simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 17: x = (-511/17) / (-204/17)

Simplifying: x = 511/204

Now, you can reduce this fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 17: x = (511/17) / (204/17)

Simplifying: x = 511/204

Now, simplify the fraction: x = 2.5

So, the solution to the equation is x = 2.5.