Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−x+x2
Evaluate
(−x×1)−(−x2)
Any expression multiplied by 1 remains the same
(−x)−(−x2)
Remove the parentheses
−x−(−x2)
Solution
−x+x2
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Factor the expression
−x(1−x)
Evaluate
(−x×1)−(−x2)
Any expression multiplied by 1 remains the same
−x−(−x2)
Rewrite the expression
−x+x2
Rewrite the expression
−x+x×x
Solution
−x(1−x)
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Find the roots
x1=0,x2=1
Evaluate
(−x×1)−(−x2)
To find the roots of the expression,set the expression equal to 0
(−x×1)−(−x2)=0
Any expression multiplied by 1 remains the same
(−x)−(−x2)=0
Remove the parentheses
−x−(−x2)=0
Rewrite the expression
−x+x2=0
Factor the expression
More Steps
Evaluate
−x+x2
Rewrite the expression
−x+x×x
Factor out −x from the expression
−x(1−x)
−x(1−x)=0
When the product of factors equals 0,at least one factor is 0
−x=01−x=0
Solve the equation for x
x=01−x=0
Solve the equation for x
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