Question
Simplify the expression
2x−4x
Evaluate
(x×1−2)(x×1×2)
Remove the parentheses
(x×1−2)x×1×2
Any expression multiplied by 1 remains the same
(x−2)x×1×2
Any expression multiplied by 1 remains the same
(x−2)x×2
Calculate the product
(x−2)×2x
Use the the distributive property to expand the expression
x×2x−2×2x
Calculate the product
2x−2×2x
Solution
2x−4x
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Find the roots
x1=0,x2=4
Evaluate
(x×1−2)(x×1×2)
To find the roots of the expression,set the expression equal to 0
(x×1−2)(x×1×2)=0
Any expression multiplied by 1 remains the same
(x×1−2)(x×1×2)=0,x≥0
Calculate
(x×1−2)(x×1×2)=0
Any expression multiplied by 1 remains the same
(x−2)(x×1×2)=0
Any expression multiplied by 1 remains the same
(x−2)(x×2)=0
Calculate the product
(x−2)×2x=0
Separate the equation into 2 possible cases
x−2=0x=0
Solve the equation
More Steps

Evaluate
x−2=0
Move the constant to the right-hand side and change its sign
x=0+2
Removing 0 doesn't change the value,so remove it from the expression
x=2
Raise both sides of the equation to the 2-th power to eliminate the isolated 2-th root
(x)2=22
Evaluate the power
x=4
x=4x=0
The only way a root could be 0 is when the radicand equals 0
x=4x=0
Check if the solution is in the defined range
x=4x=0,x≥0
Find the intersection of the solution and the defined range
x=4x=0
Solution
x1=0,x2=4
Show Solution
