Let p=3x+4p=3x+4p, equals, 3, x, plus, 4. which equation is equivalent to (3x+4)^2-36=15x+20(3x+4) 2 −36=15x+20left parenthesis, 3, x, plus, 4, right parenthesis, start superscript, 2, end superscript, minus, 36, equals, 15, x, plus, 20 in terms of ppp ?

Respuesta :

For this case we have the following equation:
 (3x + 4) ^ 2-36 = 15x + 20
 We can rewrite the equation:
 (3x + 4) ^ 2-36 = 5 (3x + 4)
 Now we define the following variable:
 p = 3x + 4
 Substituting the variable in the equation we have:
 p ^ 2-36 = 5p
 Rewriting:
 p ^ 2 - 5p - 36 = 0
 Answer:
 
An equation that is equivalent in terms of p is:
 
p ^ 2 - 5p - 36 = 0