Final answer:
To solve the equation 5(k+1)(5k+4)(k-8) = 0 by factoring, set each factor equal to zero and solve for k. The solutions are k = -1, -4/5, and 8.
Step-by-step explanation:
To solve the equation 5(k+1)(5k+4)(k-8) = 0 by factoring, we need to set each factor equal to zero and solve for k.
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- Set k+1 = 0 and solve for k: k = -1
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- Set 5k+4 = 0 and solve for k: k = -4/5
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- Set k-8 = 0 and solve for k: k = 8
So the solutions to the equation are k = -1, -4/5, and 8.