SOLUTION: Solve the equation by factoring 3x^2+14=23x please show steps

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Question 1051707: Solve the equation by factoring
3x^2+14=23x
please show steps
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Follow this demonstation lesson:
changing a quadratic equation from general form to standard form - video

Solving the quadratic equation for the unknown variable becomes a very simple process if done from the standard form. You also have a general formula for this result:

highlight_green%28x=%28-b%2B-+sqrt%28b%5E2-4ac%29%29%2F%282a%29%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation by factoring
3x^2+14=23x
please show steps
3x%5E2+%2B+14+=+23x

3x%5E2+-+23x+%2B+14+=+0 ------ Subtracted 23x

3x%5E2+-+21x+-+2x+%2B+14+=+0 ------ Replacing - 23x with  - 21x - 2x

3x%28x+-+7%29+-+2%28x+-+7%29+=+0 ----- Factoring 1st and second binomials

(3x - 2)(x - 7) = 0

3x - 2 = 0      OR      x - 7 = 0 ---- Setting each binomial equal to 0

highlight_green%28matrix%281%2C3%2C+x+=+2%2F3%2C+or%2C+x+=+7%29%29

This is how it's dome when asked to solve by FACTORING. Never use other methods that other people tell you to use, as those are not asked for,

and so are totally unnecessary.