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) About Me  (Show Source):
You can put this solution on YOUR website!

x%283x-1%29=14...first multiply
3x%2Ax-1%2Ax=14
3x%5E2-x=14
3x%5E2-x-14=0...factor
3x%5E2%2B6x-7x-14=0
%283x%5E2%2B6x%29-%287x%2B14%29=0
3x%28x%2B2%29-7%28x%2B2%29=0
%28x+%2B+2%29+%283x+-+7%29+=+0
solutions:
if x+%2B+2+=+0->x=-2
if 3x+-+7+=+0->3x=7->x=7%2F3

Answer by Boreal(15235) About Me  (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)
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C3x%5E2-x-14%29
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)