Question

What is 2a^2-14=-24 factored

Answer 1

The answer:  "(a − 4)(a − 3) = 0" ; 
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→ {assuming the question meant to be written as:
       "What is:  2a² − 14x= -24 ; factored?" } ;
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Explanation:
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Given:  " 2a² − 14x= -24  ";  factor this equation ;
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Simplify the equation by dividing the entire equation (each side) by "2" ;
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               { 2a² − 14x = -24 } / 2 =

              a² − 7 = -12 

Now, add "12" to each side of the equation:
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              a² − 7x + 12 = -12 + 12 ;

to get:
                  a² − 7 + 12 = 0 ;
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Now, what factors of "12"; when added together, equal "-7"?

6, 2 = 8
-6 -2 = -2, 
12, 1 = 13,
-12 -1 = 12
4, 3 = 7,
-4 -3 = -7 .
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So;   "a² − 7x + 12 = 0" ;  factors to:
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       "(a − 4)(a − 3) = 0 " .
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        {The solutions are:  a = 4 ; and:  a = 3} .
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