Solve The Quadratic Equation By Factoring: K²+4k=0 ​

Solve the quadratic equation by factoring:
k²+4k=0

ANSWER:

To solve this quadratic equation by factoring, we need to find two numbers that multiply to 0.

k²+4k=0

We can factor out k:

k(k+4)=0

Now we have two factors, k and k+4, that multiply to 0. This means that either k=0 or k+4=0.

If k=0, then the equation becomes:

0²+4(0)=0

This is true, so k=0 is a solution.

If k+4=0, then k=-4. Substituting this into the equation, we get:

(-4)²+4(-4)=0

This is also true, so k=-4 is another solution.

Therefore, the solutions to the quadratic equation k²+4k=0 are k=0 and k=-4.

Solve The Quadratic Equation By Factoring: K²+4k=0 ​

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