Answer: " x = [tex]\frac{2}{5}[/tex] ; 0 " .
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Or; write in "decimal form" ; as:
" x = 0.4 ; 0 " .
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Step-by-step explanation:
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Given:
10x² - 4x = 0 ; Solve for "x" .
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Factor out a "2x" from the "left-hand side" of the equation:
2x (5x - 2) = 0 ;
Note that "any value"; multiplied by "0" ; equals "0" ;
We have 2 (two) expressions:
1) " 2x " ; And:
2) " (5x - 2) " ;
→ which, when multiplied together, equal "0" ;
So, set "each" of the 2 (two) expressions "equal to 0 " ;
and solve for "x" ;
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1) " 2x = 0 " ; solve for "x" ;
Divide each side of the equation by: "2" ;
to isolate "x" on one side of the equation;
& to solve for "x" ;
→ 2x/2 = 0/2 ;
→ x = 0 ;
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2) " 5x - 2 = 0 " ; solve for "x" ;
Add "2" to each side of the equation :
5x - 2 + 2 = 0 + 2 ;
to get: 5x = 2 ;
Now ; divide each side of the equation by: "5" ;
to isolate "x" on one side of the equation;
& to solve for "x" ;
5x/5 = 2/5 ;
to get:
x = 2/5 ;
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The answer is: " x = [tex]\frac{2}{5}[/tex] ; 0 . "
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Or; write in "decimal form" ; as:
" x = 0.4 ; 0 " .
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Hope this is helpful to you!
Best wishes!
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