(х2+х-6)(х2+х-4)=144

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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.