SOLUTION: please help me with this question :) -10+4(3p+10)=18

Algebra ->  Equations -> SOLUTION: please help me with this question :) -10+4(3p+10)=18      Log On


   

Question 157823: please help me with this question :)
-10+4(3p+10)=18
Found 2 solutions by jojo14344, Electrified_Levi:
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
-10%2B4%283p%2B10%29=18
-10%2B12p%2B40=18, distribute
12p=18-40%2B10
12p=-12 -------------> cross%2812%29p%2Fcross%2812%29=cross%28-12%291%2Fcross%2812%29
p=-1
Thank you,
Jojo

Answer by Electrified_Levi(103) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, Hope I can help
.
+-10%2B4%283p%2B10%29=18+
.
We are trying to solve for "p", first we will use the distribution method to get rid of the parentheses
.
+-10%2B4%283p%2B10%29=18+ = +-10%2Bhighlight%284%29%28highlight%283p%29%2B10%29=18+ = +-10%2Bhighlight%284%29%283p%2B+highlight%2810%29%29=18+ = +-10%2B12p%2B40=18+(remember to also put the right signs( %28negative-numbers%29%28positive-numbers%29+=+negative-numbers+ ) (we had all positive numbers)
.
Now we will rearrange the numbers
.
+-10%2B12p%2B40=18+ = +12p-10%2B40=18+, now we will add like terms
.
+12p-10%2B40=18+ =, (12p)(-10+40)=18, = +12p%2B30=18+
.
We will move "30" to the right side
.
+12p%2B30=18+ = +12p%2B30+-+30=18+-+30+ = +12p=+%28-12%29+
.
To find "p" we will divide each side by "12"
.
+12p=+%28-12%29+ = +12p%2F12=+-12%2F12+ = +p=+%28-1%29+
.
+p=+%28-1%29+
.
"p" = (-1)
.
We can check by replacing "x" with (-1) in our equation
.
+-10%2B4%283p%2B10%29=18+ = +-10%2B4%283%28-1%29%2B10%29=18+ = +-10%2B4%28%28-3%29%2B10%29=18+ = +-10%2B4%287%29=18+ = +-10%2B28=18+ = +18=18+ (True)
.
"p" = (-1), +p+=+%28-1%29+
.
Hope I helped,Levi