SOLUTION: Solve equation for x.(Please step-by-step so i can undersatnd it thanks.) {{{sqrt(3x+54)+6=2}}} Step 1: Isolate the radical on the left side of the equation. Show your work. Ste

Question 194819: Solve equation for x.(Please step-by-step so i can undersatnd it thanks.)

Step 1: Isolate the radical on the left side of the equation. Show your work.
Step 2: Square both sides of the equation from step 1. Show your work.
Step 3: Solve the equation from step 2 for x. Show your work.
Step 4: Check your solution from step 3 in the original equation. Show your work.
Step 5: State the solution for the equation .

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Solve equation for x.(Please step-by-step so i can undersatnd it thanks.)
sqrt(3x+54)+6=2
:
Step 1: Isolate the radical on the left side of the equation. Show your work.
+ 6 = 2
Subtract 6 from both sides
= 2 - 6
= -4; that isolates the radical on the left
:
Step 2: Square both sides of the equation from step 1. Show your work.
=
3x + 54 = 16; squaring a radical gets rid of it
:
Step 3: Solve the equation from step 2 for x. Show your work.
3x + 54 = 16
Subtract 54 from both sides
3x = 16 - 54
3x = -38
Divide both sides by 3
x =
x = -12
:
Step 4: Check your solution from step 3 in the original equation. Show your work.
Use for substitution in the original equation
+ 6 = 2
note that the 3's cancel and we have
+ 6 = 2
:
+ 6 = 2
4 + 6 does not = 2, therefore there is no solution:
:
Step 5: State the solution for the equation sqrt(3x+54)+6=2. There is none
RELATED QUESTIONS
Solve each equation for x. (((Please do it step by step so i can unserstand it thanks.))) (answered by RAY100)

i dont undersatnd these type of questions rationalize 1/^6-^5 , please right the answers... (answered by Edwin McCravy)

Can someone explain how this problem works (if possible step by step so that i can... (answered by jim_thompson5910)

11-4(x+1)-3=11+2(4-2x)-16 I have to solve it in 4 steps.Step 1-�Simplify each side... (answered by jim_thompson5910)

PLEASE I need help on this test question asap. Thanks. Solve each equation for x.... (answered by checkley77)

Please show me how to solve this equation so I can graph it. Need step by step... (answered by Alan3354)

Please, help me solve this equation step by step so I can understand it. I have tried to... (answered by jsmallt9)

hi can you help me understand how multiplying fractions by LCM simplifies this linear... (answered by Fombitz,MathTherapy)

please help. I am trying to teach this to my daughter,but I need step by step... (answered by jim_thompson5910,vleith)