Answer: [A]: " x = 7 " ;
[B]: " x = 0 " ;
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Step-by-step explanation:
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Given: " 8x² - 56x = 0 " ;
Find the solutions for "x" ;
Divide Each Side of the equation by: "8" ; to simplify:
{ 8x² - 56x } / 8 = {0 } / 8 ;
to get:
x² - 7x = 0 ;
Now, from the "left-hand side" of the equation:
we can factor out an "x" :
x (x - 7 ) ;
and rewrite the equation:
x (x - 7 ) = 0 ;
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Note that "any value", multiplied by "zero" , equals "zero");
So, the equation holds true when:
x = 0 ;
and when:
x - 7 = 0 .
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When: " x - 7 = 0 " ; what does "x" equal?
Add " 7 " to both sides of the equation;
to isolate "x" on one side of the equation; & to solve for "x" ;
" x - 7 + 7 = 0 + 7 " ;
to get:
" x = 7 ".
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So: The solutions are: " x = 0 " ; which is: Answer choice: {B]:
and: " x = 7 " ; which is: Answer choice [A]:
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The answers are: [A]: " x = 7 " ; and :
[B]: " x = 0 " .
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Hope this helps!
Wishing you well in your academic endeavors
— and within the "Brainly" community!
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