Question 1051707
Solve the equation by factoring

3x^2+14=23x

please show steps
<pre>{{{3x^2 + 14 = 23x}}}
{{{3x^2 - 23x + 14 = 0}}} ------ Subtracted 23x
{{{3x^2 - 21x - 2x + 14 = 0}}} ------ Replacing - 23x with  - 21x - 2x
{{{3x(x - 7) - 2(x - 7) = 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(matrix(1,3, x = 2/3, or, x = 7))}}}
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.