Solve for $$ w $$. $$ (-6 w+7)(-5 w-9)=0 $$ Write your answers as integers or as proper or improper fractions in simplest form. $$ w=\square $$ or $$ w=\square $$

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To solve the equation $$( -6w + 7 )( -5w - 9 ) = 0$$, we can set each factor equal to zero and solve for $$ w $$.

1. **First factor:**
   $$
   -6w + 7 = 0
   $$
   $$
   -6w = -7
   $$
   $$
   w = \frac{7}{6}
   $$

2. **Second factor:**
   $$
   -5w - 9 = 0
   $$
   $$
   -5w = 9
   $$
   $$
   w = -\frac{9}{5}
   $$

So, the solutions are:
$$
w = \frac{7}{6} \quad \text{or} \quad w = -\frac{9}{5}
$$

**Answer:**

$$ w=\dfrac{7}{6} $$ or $$ w=-\dfrac{9}{5} $$
$$ w=\dfrac{7}{6} $$ or $$ w=-\dfrac{9}{5} $$

Solve for \( w \). \[ (-6 w+7)(-5 w-9)=0 \] Write your answers as integers or as proper or improper fractions in simplest form. \( w=\square \) or \( w=\square \)

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