Compute all the values of q such that &#x2212;<!-- − --> 5 q <mrow class="MJX-TeXAto

Matthew Hubbard

Matthew Hubbard

Answered question

2022-05-19

Compute all the values of q such that 5 q 2 25 q + 420 = 0.

Answer & Explanation

Gallichi5mtwt

Gallichi5mtwt

Beginner2022-05-20Added 18 answers

Factor the left side of the equation.

-5(q-7)(q+12)=0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

q-7=0

q+12=0

Set q-7 equal to 0 and solve for q.

q=7

Set q+12 equal to 0 and solve for q.

q=-12

The final solution is all the values that make -5(q-7)(q+12)=0 true.

q=7,-12

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