To solve the equation x^2 + 2x^2 = 18, we can start by combining like terms on the left side of the equation:
3x^2 = 18
Next, we divide both sides of the equation by 3 to isolate x^2:
x^2 = 18/3
Simplifying the right side:
x^2 = 6
To solve for x, we can take the square root of both sides of the equation:
√(x^2) = √6
This gives us two possible solutions:
x = √6 or x = -√6
So the solutions to the equation x^2 + 2x^2 = 18 are x = √6 and x = -√6.