Let's expand the left side of the equation using the distributive property:
(х^2 + х - 6)(х^2 + х - 4) = х^4 + х^3 - 4х^2 + х^3 + х^2 - 4х - 6х^2 - 6х + 24
Combining like terms, we get:
х^4 + 2х^3 - 9х^2 - 10х + 24 = 144
Now, let's set the equation equal to 144:
Now, we can rearrange the equation to set it equal to zero:
х^4 + 2х^3 - 9х^2 - 10х + 24 - 144 = 0
х^4 + 2х^3 - 9х^2 - 10х - 120 = 0
Now, this is a polynomial equation that can be solved using various methods such as factoring, synthetic division, or using the Rational Root Theorem.
Let's expand the left side of the equation using the distributive property:
(х^2 + х - 6)(х^2 + х - 4) = х^4 + х^3 - 4х^2 + х^3 + х^2 - 4х - 6х^2 - 6х + 24
Combining like terms, we get:
х^4 + 2х^3 - 9х^2 - 10х + 24 = 144
Now, let's set the equation equal to 144:
х^4 + 2х^3 - 9х^2 - 10х + 24 = 144
Now, we can rearrange the equation to set it equal to zero:
х^4 + 2х^3 - 9х^2 - 10х + 24 - 144 = 0
х^4 + 2х^3 - 9х^2 - 10х - 120 = 0
Now, this is a polynomial equation that can be solved using various methods such as factoring, synthetic division, or using the Rational Root Theorem.