Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x−81x2
Evaluate
x−9x×x×9
Solution
More Steps
Evaluate
9x×x×9
Multiply the terms
81x×x
Multiply the terms
81x2
x−81x2
Show Solution
Factor the expression
x(1−81x)
Evaluate
x−9x×x×9
Multiply
More Steps
Evaluate
9x×x×9
Multiply the terms
81x×x
Multiply the terms
81x2
x−81x2
Rewrite the expression
x−x×81x
Solution
x(1−81x)
Show Solution
Find the roots
x1=0,x2=811
Alternative Form
x1=0,x2≈0.012346
Evaluate
x−9x×x×9
To find the roots of the expression,set the expression equal to 0
x−9x×x×9=0
Multiply
More Steps
Multiply the terms
9x×x×9
Multiply the terms
81x×x
Multiply the terms
81x2
x−81x2=0
Factor the expression
More Steps
Evaluate
x−81x2
Rewrite the expression
x−x×81x
Factor out x from the expression
x(1−81x)
x(1−81x)=0
When the product of factors equals 0,at least one factor is 0
x=01−81x=0
Solve the equation for x
More Steps
Evaluate
1−81x=0
Move the constant to the right-hand side and change its sign
−81x=0−1
Removing 0 doesn't change the value,so remove it from the expression
−81x=−1
Change the signs on both sides of the equation
81x=1
Divide both sides
8181x=811
Divide the numbers
x=811
x=0x=811
Solution
x1=0,x2=811
Alternative Form
x1=0,x2≈0.012346
Show Solution