To find which equation has the solution set \( x = {-95, 3} \), we need to establish that the solutions of the equation correspond to the given solution set.
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The equation \((x - 3)(5x + 9) = 0\) has solutions:
- \(x - 3 = 0 \Rightarrow x = 3\)
- \(5x + 9 = 0 \Rightarrow 5x = -9 \Rightarrow x = -\frac{9}{5}\) (not in the solution set)
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The equation \(-3x(5x + 9) = 0\) has solutions:
- \(-3x = 0 \Rightarrow x = 0\)
- \(5x + 9 = 0 \Rightarrow 5x = -9 \Rightarrow x = -\frac{9}{5}\) (not in the solution set)
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The equation \((x + 3)(9x - 5) = 0\) has solutions:
- \(x + 3 = 0 \Rightarrow x = -3\)
- \(9x - 5 = 0 \Rightarrow 9x = 5 \Rightarrow x = \frac{5}{9}\) (not in the solution set)
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The equation \((x - 3)(9x + 5) = 0\) has solutions:
- \(x - 3 = 0 \Rightarrow x = 3\)
- \(9x + 5 = 0 \Rightarrow 9x = -5 \Rightarrow x = -\frac{5}{9}\) (not in the solution set)
None of the equations provided appear to have the solution set \(x = {-95, 3}\).
To confirm, both -95 and 3 should satisfy the equation. The correct polynomial should factor in such a way that results in these specific values.
We can create the polynomial from the solutions directly:
\[ (x - 3)(x + 95) = 0 \]
which expands to:
\[ x^2 + 92x - 285 = 0 \]
This corresponds with the provided options. It seems that there are no equations provided in your list that match that polynomial. Therefore, none of them have the specified solution set.
If you have any further queries or more options, feel free to ask!