Question

(2х+3)(3х+1)-10=11х+20 помогите решить❤умоляю

Answer 1

(2х+3)(3х+1)-10=11х+20
6х²+2х+9х+3-10-11х-20
6х²-27=0
6х(х-27)=0
х=0
х-27=0
х=27

Answer 2

(2х+3)(3х+1)-10=11х+20
6х^2+2х+9х+3-10-11х-20=0
6х^2-17=0
6х^2=17
х^2=17 дробь 6
х=корень из 17 дробь корень из 6
х= -корень из 17 дробь корень из 6

Answer 3

Solving the Equation (2x + 3)(3x + 1) - 10 = 11x + 20

To solve the equation (2x + 3)(3x + 1) - 10 = 11x + 20, we'll follow these steps:

1. Expand the expression (2x + 3)(3x + 1). 2. Simplify the equation by combining like terms. 3. Solve for the value of x.

Step 1: Expand the Expression

The given equation is (2x + 3)(3x + 1) - 10 = 11x + 20. Let's expand the expression (2x + 3)(3x + 1):

(2x + 3)(3x + 1) = 2x * 3x + 2x * 1 + 3 * 3x + 3 * 1 = 6x^2 + 2x + 9x + 3 = 6x^2 + 11x + 3

So, the equation becomes 6x^2 + 11x + 3 - 10 = 11x + 20.

Step 2: Simplify the Equation

Now, simplify the equation by combining like terms:

6x^2 + 11x - 7 = 11x + 20

Subtract 11x from both sides:

6x^2 - 7 = 20

Step 3: Solve for x

Add 7 to both sides:

6x^2 = 27

Divide by 6:

x^2 = 4.5

Taking the square root of both sides:

x = ±√4.5

So, the solutions for x are x = √4.5 and x = -√4.5.

Therefore, the solutions for the equation (2x + 3)(3x + 1) - 10 = 11x + 20 are x = √4.5 and x = -√4.5.