Question

What are the 2 solutions for 6x^2 = 22x

Answer 1

To solve the equation \( 6x^2 = 22x \), we first rearrange it into standard quadratic form:

\[
6x^2 - 22x = 0
\]

Next, we can factor out the common term \( 2x \):

\[
2x(3x - 11) = 0
\]

Now, we can set each factor to zero to find the solutions:

1. Setting \( 2x = 0 \):
\[
x = 0
\]

2. Setting \( 3x - 11 = 0 \):
\[
3x = 11 \\
x = \frac{11}{3}
\]

Thus, the two solutions for the equation \( 6x^2 = 22x \) are:

\[
x = 0 \quad \text{and} \quad x = \frac{11}{3}
\]