Answer:
Step-by-step explanation:
Step1: isolate the square root on the left hand side.
Original equation :x+1=√-6x-6
Isolate :x+1=√-6x-6.
Step2: raise both sides to the second power.
(x+1)^2=(√-6x-6)^2
(x+1)(x+1)=-6x-6
Step3: after squaring, solve the quadratic equation.
x^2+2x-1=-6x-6
x^2+8x+7=0
x^2+7x+x+7=0
x(x+7)+1(x+7)=0
(x+1)(x+7)=0
x=-1,-7
Step4:check that the first solution correct.
Input x=-1 into the original equation
x+1=√-6x-6
-1+1=√+6-6
0=0
Step5:check that the second equation is correct.
Input x=-7 into the original equation
x+1=√-6x-6
-7+1=√42-6
-6=√36
-6#6
Therefore one solution is found.
x=-1
Answer:
x=+30
Step-by-step explanation:
1200-5(3x+30)=600
We move all terms to the left:
1200-5(3x+30)-(600)=0
We add all the numbers together, and all the variables
-5(3x+30)+600=0
We multiply parentheses
-15x-150+600=0
We add all the numbers together, and all the variables
-15x+450=0
We move all terms containing x to the left, all other terms to the right
-15x=-450
x=-450/-15
x=+30
EF and GH. those are the right answers
Isolate the d. Note the equal sign. What you do to one side, you do to the other.
Subtract 3.2d from both sides
5.7d (-3.2d) = 3.2d (-3.2d) - 8
2.5d = -8
Isolate the d. Divide 0.5 from both sides
(2.5d)/2.5 = (-8)/2.5
d = -8/2.5
d = -3.2
-3.2 is your answer for d
hope this helps