Factoring the Expression 6x²+3x: Finding the Common Factor

We factored the expression

$6x^2+3x$

into its basic terms:

$3\cdot 2\cdot x\cdot x+3\cdot x$

Take out the common factor from the factored expression

For the expression $6x^2 + 3x$, the greatest common factor is $3x$: $\blue 3\cdot 2\cdot \orange x\cdot x+\blue3\cdot \orange x$

When you factor out $3x$, the expression becomes:

$6x^2 + 3x = 3x(2x + 1)$

This expresses the original expression in its factored form, with $3x(2x + 1)$ being the simplest form.