Question 231646
With the {{{x^2}}} term this is a quadratic equation. To solve quadratic equations<ol><li>If one side of the equation is not zero, simplify each side.</li><li>Make one side of the equation zero by adding or subtracting the appropriate terms.</li><li>Factor the non-zero side or use the quadratic formula</li><li>If you factored, set each variable factor to zero and solve.</ol>
Let's try this on your equation.
1. Simplify
Your equation is already simplified.
2. One side equal to zero.
Subtract 14x from each side:
{{{x^2 - 14x +24= 0}}}
3. Factor or use the quadratic formula. 
(I prefer factoring when it is possible.)
{{{(x-12)(x-2) = 0}}}
4. Set each factor to zero and solve.
By the Zero Product Property we know that this or any product can be zero only if one of the factors is zero:
{{{x-12 = 0}}} or {{{x - 2 = 0}}}
Solve:
{{{x = 12}}} or {{{x = 2}}}