Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
5x−x2
Evaluate
(5−x)x×1
Rewrite the expression
(5−x)x
Multiply the terms
x(5−x)
Apply the distributive property
x×5−x×x
Use the commutative property to reorder the terms
5x−x×x
Solution
5x−x2
Show Solution
Find the roots
x1=0,x2=5
Evaluate
(5−x)x×1
To find the roots of the expression,set the expression equal to 0
(5−x)x×1=0
Multiply the terms
More Steps
Multiply the terms
(5−x)x×1
Rewrite the expression
(5−x)x
Multiply the terms
x(5−x)
x(5−x)=0
Separate the equation into 2 possible cases
x=05−x=0
Solve the equation
More Steps
Evaluate
5−x=0
Move the constant to the right-hand side and change its sign
−x=0−5
Removing 0 doesn't change the value,so remove it from the expression
−x=−5
Change the signs on both sides of the equation
x=5
x=0x=5
Solution
x1=0,x2=5
Show Solution