Question 449355
Quadratic Equation in Standard Form

{{{ax^2+bx+c=0}}}

where {{{a}}} does not equal {{{0}}}.

Zero Factor Property

If a product {{{ab = 0}}}, then {{{a = 0}}} or {{{b = 0}}}. 

{{{0}}} is our magic number because the {{{only}}} way a product can become {{{0}}} is if at least one of its factors is {{{0}}}

you need:

use the zero property or factoring to find the solution of 

{{{(x+2)(2x+7)=-15 }}}....first set equation = to {{{0}}} 

{{{(x+2)(2x+7)+15=0 }}}multiply


{{{2x^2+4x+7x+14+15=0 }}}


{{{2x^2+11x+29=0 }}}.....since {{{2x^2+11x+29=0 }}} cannot be factored,. ... you cannot  find the solution of  {{{(x+2)(2x+7)=-15 }}} by using the zero property or factoring

only way is to use quadratic formula 

*[invoke quadratic_formula 2, 11, 29, "x"]

as you can see, there is {{{NO}}} real solutions, only imaginary solutions