To solve the factored quadratic equation \( 0 = -13x(x - 6) \), we can set each factor equal to zero:
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Set \( -13x = 0 \): \[ x = 0 \]
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Set \( x - 6 = 0 \): \[ x = 6 \]
Thus, the solutions are \( x = 0 \) and \( x = 6 \).
The solution set is \( x = {0, 6} \).