Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x−x2
Evaluate
(1−x)(x×1)
Remove the parentheses
(1−x)x×1
Rewrite the expression
(1−x)x
Multiply the terms
x(1−x)
Apply the distributive property
x×1−x×x
Any expression multiplied by 1 remains the same
x−x×x
Solution
x−x2
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Find the roots
x1=0,x2=1
Evaluate
(1−x)(x×1)
To find the roots of the expression,set the expression equal to 0
(1−x)(x×1)=0
Any expression multiplied by 1 remains the same
(1−x)x=0
Multiply the terms
x(1−x)=0
Separate the equation into 2 possible cases
x=01−x=0
Solve the equation
More Steps
Evaluate
1−x=0
Move the constant to the right-hand side and change its sign
−x=0−1
Removing 0 doesn't change the value,so remove it from the expression
−x=−1
Change the signs on both sides of the equation
x=1
x=0x=1
Solution
x1=0,x2=1
Show Solution