Question 660250

{{{8p+7p^2-12+5p^2-10p-6+5(p^2-5)}}}


{{{7p^2+5p^2+8p-10p-6-12+5p^2-25}}}


{{{12p^2-2p-18+5p^2-25}}}


{{{17p^2-2p-43}}}....if you need to solve for {{{p}}}, set it equal to zero and 

use quadratic formula:


{{{17p^2-2p-43=0}}}.


 {{{p = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}


 {{{p = (-(-2) +- sqrt( (-2)^2-4*17*(-43) ))/(2*17) }}}


{{{p= (2 +- sqrt(4+2924) ))/34 }}}


{{{p = (2 +- sqrt(2928) )/34 }}}


{{{p = (2 +- 54.11 )/34 }}}


solutions:


{{{p = (2 + 54.11 )/34 }}}


{{{p = 56.11 /34 }}}


{{{p = 1.65 }}}

or

{{{p = (2 - 54.11 )/34 }}}


{{{p = -52.11 /34 }}}


{{{p = -1.53 }}}