Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
44x−44x2
Evaluate
(2−2x)×22x
Multiply the terms
22x(2−2x)
Apply the distributive property
22x×2−22x×2x
Multiply the numbers
44x−22x×2x
Solution
More Steps
Evaluate
22x×2x
Multiply the numbers
44x×x
Multiply the terms
44x2
44x−44x2
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Factor the expression
44x(1−x)
Evaluate
(2−2x)×22x
Multiply the terms
22x(2−2x)
Factor the expression
22x×2(1−x)
Solution
44x(1−x)
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Find the roots
x1=0,x2=1
Evaluate
(2−2x)(22x)
To find the roots of the expression,set the expression equal to 0
(2−2x)(22x)=0
Multiply the terms
(2−2x)×22x=0
Multiply the terms
22x(2−2x)=0
Elimination the left coefficient
x(2−2x)=0
Separate the equation into 2 possible cases
x=02−2x=0
Solve the equation
More Steps
Evaluate
2−2x=0
Move the constant to the right-hand side and change its sign
−2x=0−2
Removing 0 doesn't change the value,so remove it from the expression
−2x=−2
Change the signs on both sides of the equation
2x=2
Divide both sides
22x=22
Divide the numbers
x=22
Divide the numbers
More Steps
Evaluate
22
Reduce the numbers
11
Calculate
1
x=1
x=0x=1
Solution
x1=0,x2=1
Show Solution