solve for x

Question

3x^2=11x-6

Answer 1

To solve for x in the equation 3x^2 = 11x - 6, we first need to set the equation equal to zero:

3x^2 - 11x + 6 = 0

Next, we can factor the quadratic equation:

(3x - 2)(x - 3) = 0

Now, we can set each factor equal to zero:

3x - 2 = 0
x - 3 = 0

Solving for x in each equation:

3x = 2
x = 2/3

x = 3

Therefore, the solutions for x are x = 2/3 and x = 3.