Algebra
Calculus
Trigonometry
Matrix
Question
x−40x2
Simplify the expression
4040x−x2
Evaluate
x−40x2
Reduce fractions to a common denominator
40x×40−40x2
Write all numerators above the common denominator
40x×40−x2
Solution
4040x−x2
Show Solution
Find the roots
x1=0,x2=40
Evaluate
x−40x2
To find the roots of the expression,set the expression equal to 0
x−40x2=0
Subtract the terms
More Steps
Simplify
x−40x2
Reduce fractions to a common denominator
40x×40−40x2
Write all numerators above the common denominator
40x×40−x2
Use the commutative property to reorder the terms
4040x−x2
4040x−x2=0
Simplify
40x−x2=0
Factor the expression
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Evaluate
40x−x2
Rewrite the expression
x×40−x×x
Factor out x from the expression
x(40−x)
x(40−x)=0
When the product of factors equals 0,at least one factor is 0
x=040−x=0
Solve the equation for x
More Steps
Evaluate
40−x=0
Move the constant to the right-hand side and change its sign
−x=0−40
Removing 0 doesn't change the value,so remove it from the expression
−x=−40
Change the signs on both sides of the equation
x=40
x=0x=40
Solution
x1=0,x2=40
Show Solution