Expanding both sides of the equation, we get:
2xx(x+3) = 2x^2 * (x+3) = 2x^3 + 6x^2
xx(x+6) + 64 = x^2 * (x+6) + 64 = x^3 + 6x^2 + 64
Setting the two sides equal to each other:
2x^3 + 6x^2 = x^3 + 6x^2 + 64
Rearranging terms:
2x^3 + 6x^2 = x^3 + 6x^2 + 642x^3 + 6x^2 = x^3 + 6x^2 + 64x^3 = 64
Therefore, the solution to the equation is x = 4.
Expanding both sides of the equation, we get:
2xx(x+3) = 2x^2 * (x+3) = 2x^3 + 6x^2
xx(x+6) + 64 = x^2 * (x+6) + 64 = x^3 + 6x^2 + 64
Setting the two sides equal to each other:
2x^3 + 6x^2 = x^3 + 6x^2 + 64
Rearranging terms:
2x^3 + 6x^2 = x^3 + 6x^2 + 64
2x^3 + 6x^2 = x^3 + 6x^2 + 64
x^3 = 64
Therefore, the solution to the equation is x = 4.