solve. x(1 +2x) = (2x - 1)(x - 2)
expand, the 2x^2 will cancel
I got x = 1/3
12x+2x
To solve the given equation: x(1 + 2x) = (2x - 1)(x - 2)
First, we distribute the terms on both sides of the equation:
x + 2x^2 = 2x^2 - 5x + 2
Next, we combine like terms to simplify the equation:
0 = 2x^2 - 5x + 2 - x - 2x^2
0 = -6x + 2
To isolate the variable x, we subtract 2 from both sides:
-2 = -6x
Now, we can solve for x by dividing both sides of the equation by -6:
-2/-6 = x
Simplifying the fraction gives:
1/3 = x
Therefore, the solution to the equation is x = 1/3.