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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