Question

This is solving quadratic equations

Just the bottom question not the top

Please help

Answer 1

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10x^2 - 4x = 0
2x ( 5x - 2 ) = 0
x = [ 0 + 2 / 5 ]

x = 0 , 2/5 // ✔️
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Answer 2

Answer: " x =
`(2)/(5)` ; 0 " .

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Or; write in "decimal form" ; as:

" x = 0.4 ; 0 " .

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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 =
`(2)/(5)` ; 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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