Question

(2x+1) (x-2) - x(2x - 1) = 0 решить уравнение.

Answer 1

(2x+1) (x-2) - x(2x - 1) = 0

$2x^2-4x+x-2-2x^2+x=0\\ -2x=2\\x=-1$

Answer 2

Раскроем скобки и решим уравнение.

2х²-4х+х-2-2х²+х=0

-2х-2=0

2х=-2

х=-1

Answer 3

To solve the equation (2x+1)(x-2) - x(2x - 1) = 0, we'll first simplify the expression and then find the solutions for x.

Step 1: Expand the expression

(2x+1)(x-2) - x(2x - 1) = 0

Using the distributive property:

(2x^2 - 4x + x - 2) - (2x^2 - x) = 0

Step 2: Combine like terms

(2x^2 - 4x + x - 2) - (2x^2 - x) = 0

Simplify:

2x^2 - 3x - 2 - 2x^2 + x = 0

Step 3: Further simplify

2x^2 - 2x^2 - 3x + x - 2 = 0

Combine like terms:

-2x + x - 2 = 0

Step 4: Simplify and solve for x

-x - 2 = 0

Add 2 to both sides:

-x = 2

Now, multiply both sides by -1 to solve for x:

x = -2

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