Question

(x+1)(x-2)-(x+5)(x+4)=-2

Answer 1

Ответ прикреплен во вложении:

Answer 2

Ответ:

х=-2

Объяснение:

(x+1)(x-2)-(x+5)(x+4)=-2

Раскрываем скобки

х^2-2х+х-2-х^2-4х-5х-20+2=0

Приводим подобные

-10х-20=0

Решаем линейное уравнение

-10х=20

х=-2

Answer 3

Let's simplify the given expression step by step:

(x + 1)(x - 2) - (x + 5)(x + 4) = -2

First, let's expand both sets of parentheses:

(x^2 - 2x + x - 2) - (x^2 + 4x + 5x + 20) = -2

Simplifying further:

(x^2 - x - 2) - (x^2 + 9x + 20) = -2

Next, distribute the negative sign inside the second set of parentheses:

x^2 - x - 2 - x^2 - 9x - 20 = -2

Combine like terms:

(-x - 10x) + (x^2 - x^2) + (-2 - 20) = -2

-11x - 22 = -2

Now, let's isolate the variable term:

-11x = -2 + 22

-11x = 20

Finally, divide both sides of the equation by -11 to solve for x:

x = 20 / -11

The simplified solution for the given equation is:

x ≈ -1.818