How do i solve 3k(squared)-14k-49.... like how do i factor it out

3k^2-14k-49=0

There are two ways you can solve quadratic equation:

1. To solve quadratic equation is means to find its zeros. Use the Quadratic formula. You will find two real solutions or zeros: 7 and -7/3.

2. By factoring:

first, multiply 3 by 49=147

next find factors of 147 that sum of factors is -14. It is -21 and 7.

next, 3k^2-21k+7k -49, next, (3k^2 -21k)+(7k-49)=3k(k-7)+7(k-7)=(k-7)(3k+7)

(k-7)(3k+7)=0, zero product property, k-7=0, k=7; 3k+7=0, k=-7/3.

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