Question

Розвяжіть рівняння (2Х+3) (3Х-7)=Х(6Х-3)-17 Пожалуста!!!!!!!!!!!!!!!!!!!

Answer 1

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Answer 2

Solving the Equation

To solve the equation (2Х+3)(3Х-7)=Х(6Х-3)-17, we can follow these steps:

First, let's expand and simplify both sides of the equation.

Expanding the left side: (2Х+3)(3Х-7) = 6Х^2 - 14Х + 9Х - 21 = 6Х^2 - 5Х - 21

Expanding the right side: Х(6Х-3) - 17 = 6Х^2 - 3Х - 17

Now, we can set the two expanded expressions equal to each other: 6Х^2 - 5Х - 21 = 6Х^2 - 3Х - 17

Subtracting 6Х^2 from both sides: -5Х - 21 = -3Х - 17

Subtracting -3Х from both sides: -5Х + 3Х - 21 = -17

Combining like terms: -2Х - 21 = -17

Adding 21 to both sides: -2Х = 4

Dividing by -2: Х = -2

So, the solution to the equation is Х = -2.

Cited Sources

1. Source Title: ' . . - AMKBook.Net' Snippet: ```P(x)=(x+1)^3(x-3)(x^2+2x-15)``` 2. Source Title: ' . . - AMKBook.Net' Snippet: ```P(x)=(x+1)^3(x-3)^2(x+5)```

The solution Х = -2 is obtained by following the steps of expanding and simplifying the equation.