Answer:
If 6x + 3x2 = 3x (2 + x) then the answer is x1=0 and x2= 2
Step-by-step explanation:
Step 1: Multiply or distribute '3' and remove the parenthesis
•6x + 3x2 = 3x (2 + x)
> 6x + 3x2 = 6x + 3x²
Step 2 : Collect the like terms
6x + 3x2 = 6x + 3x²
> 6x + 6x = 6x + 3x²
Step 3 : Add the like terms
6x + 6x = 6x + 3x²
> 12x= 6x +3x²
Step 4 : Add the variables to the left
12x= 6x +3x²
>12x- 6x +3x²=0
Step 5 : Collect like terms and do the operation
12x- 6x +3x²=0
> 6x +3x²=0
Step 6: Divide both sides by 3x
6x +3x²=0
> x (2-x)=0
Step 7 : Split out possible cases
3x (2-x)=0
> x =0 and (2-x)=0
Step 8 : Solve the equation
x1 =0 and (2-x)=0
> x1=0
x1=0 x2 = 2
Final answer/s
x1=0 and x2= 2
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Answers & Comments
Answer:
If 6x + 3x2 = 3x (2 + x) then the answer is x1=0 and x2= 2
Step-by-step explanation:
Step 1: Multiply or distribute '3' and remove the parenthesis
•6x + 3x2 = 3x (2 + x)
> 6x + 3x2 = 6x + 3x²
Step 2 : Collect the like terms
•6x + 3x2 = 3x (2 + x)
6x + 3x2 = 6x + 3x²
> 6x + 6x = 6x + 3x²
Step 3 : Add the like terms
•6x + 3x2 = 3x (2 + x)
6x + 3x2 = 6x + 3x²
6x + 6x = 6x + 3x²
> 12x= 6x +3x²
Step 4 : Add the variables to the left
•6x + 3x2 = 3x (2 + x)
6x + 3x2 = 6x + 3x²
6x + 6x = 6x + 3x²
12x= 6x +3x²
>12x- 6x +3x²=0
Step 5 : Collect like terms and do the operation
•6x + 3x2 = 3x (2 + x)
6x + 3x2 = 6x + 3x²
6x + 6x = 6x + 3x²
12x= 6x +3x²
12x- 6x +3x²=0
> 6x +3x²=0
Step 6: Divide both sides by 3x
•6x + 3x2 = 3x (2 + x)
6x + 3x2 = 6x + 3x²
6x + 6x = 6x + 3x²
12x= 6x +3x²
12x- 6x +3x²=0
6x +3x²=0
> x (2-x)=0
Step 7 : Split out possible cases
•6x + 3x2 = 3x (2 + x)
6x + 3x2 = 6x + 3x²
6x + 6x = 6x + 3x²
12x= 6x +3x²
12x- 6x +3x²=0
6x +3x²=0
3x (2-x)=0
> x =0 and (2-x)=0
Step 8 : Solve the equation
•6x + 3x2 = 3x (2 + x)
6x + 3x2 = 6x + 3x²
6x + 6x = 6x + 3x²
12x= 6x +3x²
12x- 6x +3x²=0
6x +3x²=0
3x (2-x)=0
x1 =0 and (2-x)=0
> x1=0
x1=0 x2 = 2
Final answer/s
x1=0 and x2= 2