Question

(х 1)(х-2) (х-2)(х 4)=6(2х 5)

Answer 1

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Answer 2

Let's simplify the equation step by step:

(х + 1)(х - 2) (х - 2)(х + 4) = 6(2х + 5)

Expanding the left side of the equation:

(х² - 2х + х - 2) (х² + 4х - 2х - 8) = 6(2х + 5)

Combining like terms:

(х² - х - 2) (х² + 2х - 8) = 6(2х + 5)

Multiplying the binomials on the left side:

х⁴ + 2х³ - 8х² - х³ - 2х² + 8х - 2х² - 4х + 16 = 12х + 30

Combining like terms again:

х⁴ + х³ - 2х² + 4х + 16 = 12х + 30

Rearranging the equation to set it equal to zero:

х⁴ + х³ - 2х² - 8х - 14 = 0

This is a fourth-degree polynomial equation. Unfortunately, it doesn't have a simple algebraic solution. To find the values of x that satisfy this equation, you would need to use numerical methods or graphing software.