Algebra-2

To solve the equation by factoring, we first factor out the common term x:

This gives us one factor:

From :

Next, we need to factor the quadratic . We look for two numbers that multiply to 6 (the constant term) and add to -7 (the coefficient of x). The numbers -1 and -6 satisfy these conditions:

Thus, we can factor the quadratic as:

Setting Each Factor to Zero

Now we can set each factor equal to zero:

From

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