How do you solve #p( p + 5) = 14#? Algebra Linear Equations Multi-Step Equations with Like Terms 1 Answer Barney V. Oct 16, 2017 #p=2,p=-7# Explanation: #p(p+5)=14# # :.p^2+5p=14# #:.p^2+5p-14=0# #:.(p-2)(p+7)=0# #:.p=2# or #p=-7# ~~~~~~~~~~~~~~~~ check;- substitute #p=2# #:.2(2+5)=14# #:.14=14# substitute #p=-7# #;.-7(-7+5)=14# #:.-7(-2)=14# #:.14=14# Answer link Related questions How do you solve multi step equations by combining like terms? How do you solve multi step equation #w + w + 12 = 40#? How do you solve #3p + 4p + 37 = 79#? How do you solve for f: #f-1+2f+f-3=-4#? How do you combine like terms? How do you combine like terms for #-7mn-2mn^2-2mn + 8#? How do you combine like terms for #3x^2 + 21x + 5x + 10x^2#? What is a term? How do you solve #3v+5-7v+18=17#? How do you solve for x in #5x + 7x = 72#? See all questions in Multi-Step Equations with Like Terms Impact of this question 1142 views around the world You can reuse this answer Creative Commons License