Expanding the left side of the equation, we get:
(x^2 + 8x)(x^2 + 8x - 6) = x^4 + 8x^3 - 6x^2 + 8x^3 + 64x^2 - 48x= x^4 + 16x^3 + 58x^2 - 48x
Setting this equal to 280:
x^4 + 16x^3 + 58x^2 - 48x = 280
Rearranging the equation:
x^4 + 16x^3 + 58x^2 - 48x - 280 = 0
This is a quartic equation that can be difficult to solve algebraically. You may choose to use numerical methods or graphing software to find the roots of this equation.
Expanding the left side of the equation, we get:
(x^2 + 8x)(x^2 + 8x - 6) = x^4 + 8x^3 - 6x^2 + 8x^3 + 64x^2 - 48x
= x^4 + 16x^3 + 58x^2 - 48x
Setting this equal to 280:
x^4 + 16x^3 + 58x^2 - 48x = 280
Rearranging the equation:
x^4 + 16x^3 + 58x^2 - 48x - 280 = 0
This is a quartic equation that can be difficult to solve algebraically. You may choose to use numerical methods or graphing software to find the roots of this equation.