Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4100x−x2
Evaluate
x×4100−x
Multiply the terms
4x(100−x)
Solution
More Steps
Evaluate
x(100−x)
Apply the distributive property
x×100−x×x
Use the commutative property to reorder the terms
100x−x×x
Multiply the terms
100x−x2
4100x−x2
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Find the roots
x1=0,x2=100
Evaluate
x×4100−x
To find the roots of the expression,set the expression equal to 0
x×4100−x=0
Multiply the terms
4x(100−x)=0
Simplify
x(100−x)=0
Separate the equation into 2 possible cases
x=0100−x=0
Solve the equation
More Steps
Evaluate
100−x=0
Move the constant to the right-hand side and change its sign
−x=0−100
Removing 0 doesn't change the value,so remove it from the expression
−x=−100
Change the signs on both sides of the equation
x=100
x=0x=100
Solution
x1=0,x2=100
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