SOLUTION: Solve this equation X (3x-1)=14 Please and thank you

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Question 1122910: Solve this equation
X (3x-1)=14

Please and thank you

Found 2 solutions by MathLover1, Boreal:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

...first multiply


...factor




solutions:
if ->
if ->->

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
expand it
3x^2-x=14
move everything to one side
3x^2-x-14=0
factors of 14 are 14/1 and 2/7
(3x ) (x )
3x-7)(X+2)=0
x=-2, (7/3)

x^2-x-42=0, taking the first coefficient and multiplying it by the constant
factor
(x-7)(x-6). Divide the constant by 3 and reduce fully
(x-(7/3)) (x-2)
move the denominator, if there is one, out front.
(3x-7)(x+2)

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