How do you solve for x in x=\frac{18}{x+3}

tebollahb

tebollahb

Answered question

2021-12-24

How do you solve for x in x=18x+3

Answer & Explanation

Joseph Lewis

Joseph Lewis

Beginner2021-12-25Added 43 answers

Explanation:
x=18x+3
x(x+3)=18
x2+3x18=0
x2+6x3x18=0, [6×3=18, 63=3]
x(x+6)3(x+6)=0
(x+6)(x3)=0
x=6, x=3
Clearly, these satisfy the given eqn. hence, the roots are confirmed.
Marcus Herman

Marcus Herman

Beginner2021-12-26Added 41 answers

Explanation:
Multiply both sides by (x+3)
x(x+3)=18×x+3x+3
But x+3x+3=1 giving:
x(x+3)=18
Subtract 18 from both sides
x(x+3)18=1818
x(x+3)18=0
Expand the brackets
x2+3x18=0 solve as a quadratic
Note that (3)×6=18 and that 3+6=+3
(x3)(x+6)=0
So solutions are x=3 and x=6
user_27qwe

user_27qwe

Skilled2021-12-30Added 375 answers

Finally I was able to find the correct answer. Thanks!

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