Question 14446
Remember that quadratic equations have two solutions: The two solutions may be identical or they may be different, but there will be two of 'em.

{{{5x^2 + 33x - 14 = 0}}} This can be factored.
{{{(5x - 2)(x + 7) = 0}}} Apply the zero products principle.
{{{(5x - 2) = 0}}} or {{{(x + 7) = 0}}}

If {{{5x - 2 = 0}}}, then {{{5x = 2}}} and {{{x = 2/5}}} So, {{{x = 0.4}}}
If {{{x + 7 = 0}}}, then {{{x = -7}}}

The two roots are:

x = 0.4
x = -7