G (x) = 2x^3+5x^2; given g (x+3)

Solve for x over the real numbers:

2 x^3 + 5 x^2 = 0

Factor x^2 from the left hand side:

x^2 (2 x + 5) = 0

Split into two equations:

x^2 = 0 or 2 x + 5 = 0

Take the square root of both sides:

x = 0 or 2 x + 5 = 0

Subtract 5 from both sides:

x = 0 or 2 x = - 5

Divide both sides by 2:

Answer: x = 0 or x = - 5/2