To solve: x^{2}-6x=x(8+x)

Lucille Davidson

Lucille Davidson

Answered question

2021-12-27

To solve: x26x=x(8+x)

Answer & Explanation

Jimmy Macias

Jimmy Macias

Beginner2021-12-28Added 30 answers

Calculation:
By distributive property,
x(8+x)=x8+xx
x(8+x)=8x+x2
Replace x(8+x) with 8x+x2
x26x=8x+x2
Add x28x on both sides,
x26xx28x=8x+x2x28x
Add the like terms,
0x214x=0x2+0x
14x=0
x=0
The value of x is 0.
Dabanka4v

Dabanka4v

Beginner2021-12-29Added 36 answers

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
x26x(x(8+x))=0
((x2)6x)x(x+8)=0
14x=0
Multiply both sides of the equation by (-1): 14x=0
Divide both sides of the equation by 14:
x=0
karton

karton

Expert2022-01-09Added 613 answers

Use the distributive property to multiply x by 8+x
x26x=8x+x2
Subtract 8x from both sides.
x26x8x=x2
Combine 6x and 8x to get -14x.
x214x=x2
Subtract x2 from both sides.
x214xx2=0
Combine x2 and x2 to get 0.
-14x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -14 is not equal to 0, x must be equal to 0.
x=0

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